Andrew J. Majda Publications
(Revised September 14, 2017)

  Books Recently Published

  1.       Introduction to Turbulent Dynamical Systems in Complex Systems in Springer, Frontiers in Applied Dynamical Systems: Reviews and Tutorials (Available 2016) ISBN 978-3-319-32217-9 Buy

  2.       (with J. Harlim) Filtering Complex Turbulent Systems in Cambridge University Press, (Available May 2012) ISBN-13:9781107016668 Buy

 3.       (with X. Wang) Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows in Cambridge University Press, 2006 Buy

 4.       (with R. Abramov, M. Grote) Information theory and stochastics for multiscale nonlinear systems, CRM monograph series 25, American Mathematical Society, 2005 Buy  

 5.       Introduction to P.D.E.'s and Waves for the Atmosphere and Ocean: Courant Lecture Notes Vol. 9, American Mathematical Society & Courant Institute of Mathematical Sciences, 2002 Buy
 6.       (with A. Bertozzi) Vorticity and Incompressible Flows, Cambridge University Press, 2001 Buy  

 7.       Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Springer Appl. Math. Sci., #53, 1984 Buy  

Refereed Book Chapters

1.       "Real world turbulence and modern applied mathematics," In Mathematics: Frontiers and Perspectives 2000, International Mathematical Union, 2000, 137-151, published by American Math. Society (PDF)

2.       (with A. Bourlioux, B. Khouider) "A mathematical prototype for the validation of large eddy simulations strategies for turbulent flames, dans Turbulent Mixing and Combustion," Proceedings of the IUTAM Symposium, Kluwer Academic Press, 2002, pp. 211-221

3.    (with S. Stechmann) "Multi-scale theories for the MJO," Book Chapter - Intraseasonal Variability in the Atmosphere-Ocean Climate System, Springer Praxis Books, 2nd Edition, 2011 (PDF)

4.    "Climate Science, Waves and PDEs for the Tropics," Book Chapter - 2011 Abel Symposium Volume, 2011 (PDF)

5.    (with M. Branicki, Y. Frenkel) "Improving Complex Models Through Stochastic Parameterization and Information Theory," ECMWF-WCRP, Thorpex Workshop on Model Uncertainty, 2011 (PDF)

6.    (with S. Stechmann) "MJO-Skeleton and Conceptual Models," To appear in: Encyclopedia of Atmospheric Science, 2nd Edition, 2012(PDF)

7.    (with B. Khouider) "Models for Multiscale Interactions I, A multicloud model parameterization ," AMS Monograph(PDF)

8.    (with S. Stechmann ) "Models for Multiscale Interactions II, Madden-Julian Oscilation, Moisture, and Convective Momentum Transport ," To appear in: AMS Monograph, 2013 (PDF)

9.    (with D. Giannakis) "Data-Driven methods for dynamical systems: Quantifying predictability and extracting spatiotemporal patterns" (PDF)

Papers Submitted or Accepted for Publication

 Note: You may contact Prof. Majda at for PDF files that are not automatically available.


  1. (with N. Chen, and X.T. Tong) "Rigorous analysis for efficient statistically accurate algorithms for solving Fokker-Planck equations in large dimensionsr", submitted, September 2017 (PDF)(suppl)
  2. (with M. Branicki, and K.J.H. Law) "Accuracy of some approximate gaussian filters for the Navier-Stokes equation in the presence of model error", submitted, MMS, September 2017 (PDF)
  3. (with N. Chen) "Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions", submitted, Journal of Computational Physics, July 2017 (PDF)
  4. (with D. Comeau, D. Giannakis, and Z. Zhao) "Predicting regional and pan-Arctic sea ice anomalies with kernel analog forecasting", submitted, Climate Dynamics, May 2017 (PDF)
  5. (with S. Thual, and N. Chen) "Mechanisms of the 2014-2016 delayed super El Nino captured by simple dynamical models", submitted, Climate Dynamics, May 2017 (PDF)(suppl)
  6. (with Y. Lee) "Multiscale data assimilation and prediction using clustered particle filters", submitted, Journal of Computational Physics, April 2017 (PDF)
  7. (with B. B. Goswami, B. Khouider, R. Phani, and P. Mukhopadhyay) "Improved tropical modes of variability in the NCEP Climate Forecast System (version 2) via a stochastic multicloud model", submitted, JAS, April 2017 (PDF)
  8. (with B. B. Goswami, B. Khouider, R. Phani, and P. Mukhopadhyay) "Implementation and calibration of a stochastic convective parameterization in the NCEP climate forecast system", submitted, Journal of Advances in Modeling Earth Systems, April 2017 (PDF)
  9. (with X. Tong) "Rigorous accuracy and robustness analysis for two-scale reduced random Kalman filters in high dimensions", submitted, CMS, March 2017 (PDF)
  10. (with S. Thual, and N. Chen) "Seasonal synchronization of a simple stochastic dynamical model capturing El Nino diversity", submitted, Journal of Climate, Febrary 2017 (PDF)
  11. (with Q. Yang) "Upscale impact of mesoscale disturbances of tropical convection on synoptic-scale equatorial waves in two-dimensional flows", submitted, JAS, Febrary 2017 (PDF)
  12. (with N. Chen, C. T. Sabeerali, and A. S. Ravindran) "Predicting monsoon intraseasonal precipitation using a low-order nonlinear stochastic model", submitted, Journal of Climate, Febrary 2017 (PDF)
  13. (with Q. Yang, and B. Khouider) "ITCZ breakdown and itsupscale impact on the planetary-scale circulation over the eastern pacific", submitted, JAS, January 2017 (PDF)
  14. (with N. Chen, and S. Thual) "Observations and mechanisms of a simple stochastic dynamical model capturing El Nino diversity", submitted, Journal of Climate, December 2016 (PDF)
  15. (with W. Tung, D. Giannakis) "Symmetric and antisymmetric signals in MJO deep convection. Part II: Kinematics and thermodynamics" submitted,  J. Atmos. Sci., April 2013 (PDF)


  • (with Q. Yang) "Upscale impact of mesoscale disturbances of tropical convection on convectively coupled Kelvin waves", accepted, JAS, September 2017 (PDF)
  • (with D. Qi) "Predicting extreme events for passive scalar turbulence in two-layer baroclinic flows through reduced-order stochastic models", accepted, CMS, July 2017 (PDF)
  • (with D. Qi) "Strategies for reduced-order models for predicting the statistical responses and uncertainty quantification in complex turbulent dynamical systems", accepted, SIAM Review, July 2017 (PDF)
  • (with X. Tong) "Performance of ensemble Kalman filters in large dimensions", accepted, CPAM, May 2017 (PDF)
  • (with D. Qi) "Effective control of complex turbulent dynamical systems through statistical functionals", accepted, PNAS, May 2017 (PDF)

    PUBLICATIONS: (Only since 1996)


    1. (with H. R. Ogrosky, and S. N. Stechmann) "Boreal summer intraseasonal oscillations in the MJO skeleton model with observation-based forcing", Dynamics of Atmospheres and Oceans, Vol. 78, pp. 38–56, doi: 10.1016/j.dynatmoce.2017.01.001, June 2017 (PDF)
    2. (with N. Chen) "A simple stochastic dynamical model capturing the statistical diversity of El Nino southern oscillation", PNAS, Vol. 114, No. 7, pp. 1468–1473, doi: 10.1073/pnas.1620766114, Febrary 2017 (PDF)(suppl)
    3. (with B. B. Goswami, B. Khouider, R. Phani, and P. Mukhopadhyay) "Improving Synoptic and Intra-Seasonal Variability in CFSv2 via Stochastic Representation of Organized Convection", Geophysical Research Letters, doi: 10.1002/2016GL071542, January 2017 (PDF)(suppl)
    4. (with C. T. Sabeerali, R. S. Ajayamohan, and D. Giannakis) "Extraction and prediction of monsoon intraseasonal oscillations: An approach based on nonlinear Laplacian spectral analysis", Climate Dynamics, pp. 1–20, doi: 10.1007/s00382-016-3491-y, January 2017 (PDF)
    5. (with Y. Lee, D. Qi) "Stochastic superparameterization and multiscale filtering of turbulent tracers", SIAM-MMS, Vol. 15, No. 1, pp. 215–234, doi: 10.1137/16M1080239, January 2017 (PDF)


    1. (with D. Qi) "Low-dimensional reduced-order models for statistical response and uncertainty quantification: barotropic turbulence with topography", Physica D, doi: 10.1016/j.physd.2016.11.006, November 2016 (PDF)
    2. (with Y. Lee) "State estimation and prediction using clustered particle filters", PNAS, Vol. 113, No. 51, pp. 14609–14614, doi: 10.1073/pnas.1617398113, October 2016 (PDF)(suppl)
    3. (with Y. Lee, D. Qi) "Preventing catastrophic filter divergence using adaptive additive inflation for baroclinic turbulence", MWR, doi: 10.1175/MWR-D-16-0121.1, October 2016 (PDF)
    4. (with X. Tong) "Moment bounds and geometric ergodicity of diffusions with random switching and unbounded transition rates", Research in Mathematical Sciences, Vol. 3, No. 41, doi: 10.1186/s40687-016-0089-2, October 2016 (PDF)
    5. (with S. Chen, S. Stechmann) "Tropical-Extratropical Interactions with the MJO Skeleton and Climatological Mean Flow", J. Atmos. Sci., Vol. 73, No. 10, pp. 4101--4116, doi: 10.1175/JAS-D-16-0041.1, October 2016 (PDF)
    6. (with N. Chen) "Simple dynamical models capturing the key features of the central pacific El Nino", PNAS, Vol. 113, No. 42, pp. 11732-11737, doi: 10.1073/pnas.1614533113, August 2016 (PDF)(suppl)
    7. (with S. Thual, N. Chen, and S. Stechmann) "A simple stochastic model for El Nino with westerly wind bursts", PNAS, doi: 10.1073/pnas.1612002113, August 2016 (PDF)(suppl)
    8. (with D. Qi) "Low-dimensional reduced-order models for statistical response and uncertainty quantification: two-layer baroclinic turbulence", J. Atmos. Sci., doi: 10.1175/JAS-D-16-0192.1, August 2016 (PDF)
    9. (with N. Chen) "Model Error in Filtering Random Compressible Flows Using Noisy Lagrangian Tracers", MWR, doi: 10.1175/MWR-D-15-0438.1, May 2016 (PDF)
    10. (with X. Tong) "Ergodicity of truncated stochastic Navier Stokes with deterministic forcing and dispersion", Journal of Nonlinear Science, pp 1-24, doi: 10.1007/s00332-016-9310-0, May 2016 (PDF)
    11. (with D. Comeau, A. Zhao, D. Giannakis) "Data-driven prediction strategies for low-frequency patterns of North Pacific climate variability", Climate Dynamics, doi: 10.1007/s00382-016-3177-5, May 2016 (PDF)
    12. (with N. Chen) "Filtering Nonlinear Turbulent Dynamical System through Conditional Gaussian Statistics", MWR, doi: 10.1175/MWR-D-15-0437.1, April 2016 (PDF)
    13. (with R. Ajayamohan, B. Khouider, Q. Deng) "Role of stratiform heating on the organization of convection over the monsoon trough", Climate Dynamics, pp. 1-20, doi: 10.1007/s00382-016-3033-7, February 2016 (PDF)
    14. (with E. Szekely, D. Giannakis) "Initiation and termination of intraseasonal oscillations in nonlinear Laplacian spectral analysis-based indices", MCWF, Vol. 2, Issue 1, pp. 1-25, doi: 10.1515/mcwf-2016-0001, July 2016 (PDF)
    15. (with N. Brenowitz, D. Giannakis) "Nonlinear Laplacian Spectral Analysis of Rayleigh-Bernard convection", JCP, Vol. 315, pp. 536-553, doi: 10.1016/, June 2016 (PDF)
    16. (with N. Brenowitz, Y. Frenkel) "Non-local convergence coupling in a simple stochastic convection model", Dyn of Atmos. and Ocean, Vol. 74, pp. 30-49, doi: 10.1016/j.dynatmoce.2016.04.004, June 2016 (PDF
    17. (with X. Tong, D. Kelly) "Nonlinear stability and ergodicity of ensemble based Kalman filters" , Nonlinearity, Vol. 29, No. 2, pp. 657-691, doi: 10.1088/0951-7715/29/2/657, Febrary 2016 (PDF)
    18. (with D. Qi) "Improving Prediction Skill of Imperfect Turbulent Models through Statistical Response and Information Theory",  J. Nonlinear Science,Vol. 26, Issue 1, pp. 233-285, doi: 10.1007/s00332-015-9274-5, February 2016 (PDF)
    19. (with N. Chen) "Filtering the Stochastic Skeleton Model for the Madden-Julian Oscillation", Monthly Weather Review, Vol. 144, No. 2, pp. 501-527, doi: 10.1175/MWR-D-15-0261.1, January 2016 (PDF)
    20. (with X. Tong, D. Kelly) "Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation", Comm. Math. Sci., Vol. 14, No. 5, pp. 1283-1313, 2016 (PDF)
    21. (with D. Qi) "Predicting Fat-Tailed Intermittent Probability Distributions in Passive Scalar Turbulence with Imperfect Models through Empirical Information Theory",  Comm. Math. Sci., Vol. 14, No. 6, pp. 1687-1722, doi: 10.4310/CMS.2016.v14.n6.a11, 2016 (PDF)


    1. (with M. Chevrotiere, B. Khouider) "Stochasticity of Convection in Giga-LES Data" Clim. Dyn., pp 1-17, doi: 10.1007/s00382-015-2936-z, December 2015 (PDF)
    2. (with S. Thual) "A Suite of Skeleton Models for the MJO with Refined Vertical Structure"  Math. of Cli. and Weather For. Vol. 1, Issue 1, 2353-6438, DOI: 10.1515/mcwf-2015-0004, November 2015 (PDF)
    3. (with N. Chen) "Predicting the Cloud Patterns for the Boreal Summer Intraseasonal Oscillation Through a Low-Order Stochastic Model" Math. of Cli. and Weather For., 2015 (PDF)
    4. (with J. Slawinska, O. Pauluis, W. Grabowski) "Multi-scale interactions in an idealized Walker cell: analysis with isentropic streamfunctions" J. Atmos. Sci, doi: 10.1175/JAS-D-15-0070.1 2015 (PDF)
    5. (with Q. Yang) "A Multi-Scale Model for the Intraseasonal Impact of the Diurnal Cycle over the Maritime Continent on the Madden-Julian Oscillation", J, Atmos Sci., doi: 10.1175/JAS-D-15-0158.1 2015 (PDF)
    6. (with Q. Deng, B. Khouider) "Effect of Stratiform Heating on the Planetary-Scale Organization of Tropical Convection" J. Atmos Sci., doi: 10.1175/JAS-D-15-0178.1  December 2015 (PDF)
    7. (with J. Stachnik, D. Waliser, S. Stechmann, and S. Thual) "Evaluating MJO initiation and decay in the skeleton model using an RMM-like index" J. Geophys. Res. Atmos., DOI: 10.1002/2015JD023916 November 2015 (PDF)
    8. (with S. Chen, S. Stechmann) "Multiscale asymptotics for the Skeleton of the Madden-Julian Oscillation and Tropical-Extratropical Interactions", Math. of Cli. and Weather For., October 2015 (PDF)
    9. (with X. Tong) "Intermittency in Turbulent Diffusion Models with a Mean Gradient", Nonlinearity, Vol. 28, Num. 11 October 2015 (PDF)
    10. (with I. Grooms, Y. Lee) "Ensemble filtering and low resolution model error: Covariance inflation, stochastic parameterization, and model numerics" Mon. Wea. Rev., 143, 3912-3924.doi: 10.1175/MWR-D-15-0032.1 October 2015(PDF)
    11. (with Y. Frenkel, S. Stechmann) "Cloud-radiation feedback and atmosphere-ocean coupling in a stochastic multicloud model" Dyn. Atmos. Oceans, Volume 71, Pg 35-55, doi:10.1016/j.dynatmoce.2015.05.003  (PDF) September 2015
    12. (with D. Kelly and X. Tong)  "Concrete ensemble Kalman filters with rigorous catastrophic filter divergence", PNAS, vol. 112 no. 34, 10589-10594, doi: 10.1073/pnas.1511063112 August 2015 (PDF)
    13. (with S. Thual, S. Stechmann) "Asymmetric intraseasonal events in the stochastic skeleton MJO model with seasonal cycle" Clim. Dyn., Volume 45, Issue 3, pp 603-618, doi: 10.1007/s00382-014-2256-8, August 2015 (PDF)
    14. (with I. Grooms, Y. Lee) "Numerical schemes for stochastic backscatter in the inverse cascade of quasigeostrophic turbulence" Multiscale Model. Simul., 13(3), 1001-1021, DOI:10.1137/140990048 (PDF)
    15. (with N. Brenowitz, Y. Frenkel) "Enhanced persistence of equatorial waves via convergence coupling in the stochastic multicloud model", J. Atmos Sci, July 30, 2015,doi: 10.1175/JAS-D-15-0135.1  (PDF)
    16. (with S. Thual) "A skeleton Model for the MJO with Refined Vertical Structure" Climate Dynamics, pg 1-14, doi: 10.1007/s00382-015-2731-x,  July 2015 (PDF)
    17. (with M. Bushuk, D. Giannakis) "Arctic Sea Ice Reemergence The Role of Large-Scale Oceanic and Atmospheric Variability", J. Climate, 28, 5477-5509. doi: 10.1175/JCLI-D-14-00354.1 July 2015 (PDF)
    18. (with N. Chen) "Predicting the Real-time Multivariate Madden-Jullian Oscillation Index through a Low-Order Nonlinear Stochastic Model" MWR, 143, 2148-2169, doi: 10.1175/MWR-D-14-00378.1, June 2015 (PDF)
    19. (with N. Chen, X. Tong) "Noisy Lagrangian Tracers for Filtering Random Rotating Compressible Flows",  J. Nonlinear Sci., doi: 10.1007/s00332-014-9226-5, June 2015 (PDF)
    20. (with Y. Lee) "Multi-scale Methods for Data Assimilation in Turbulent Systems" Multiscale Model. Simul., 13(2), 691-713 doi:10.1137/140978326 June 2015 (PDF)
    21. "Statistical energy conservation principle for inhomogeneous turbulent dynamical systems" PNAS Vol. 112, no. 29, 8937-8941, doi: 10.1073/pnas.1510465112, May 2015 (PDF)
    22. (with X. Tong) "Geometric Ergodicity for Piecewise Contracting Processes with Application for Tropical Stochastic Lattice Models" Comm Pure Appl. Math, DOI: 10.1002/cpa.21584 May 2015 (PDF)
    23. (with E. Szekely and D. Giannakis), "Extraction and predictability of coherent intraseasonal signals in infrared brightness temperature data",  Climate Dyn., doi:10.1007/s00382-015-2658-2 May 2015 (PDF)
    24. (with Stachnik,  D. Waliser) "Precursor Environmental Conditions Associated with the Termination of Madden-Julian Oscillation Events",  J. Atmos. Sci., 72, 1908-193, doi:10.1175/JAS-D-14-0254.1 May 2015 (PDF)
    25. (with D. Qi) "Blended particle methods with adaptive subspaces for filtering turbulent dynamical systems" Physica D,Vol. 298-299, Pages 21-41,  doi:10.1016/j.physd.2015.02.002 April 2015 (PDF)
    26. (with M. Branicki) "An information-theoretic framework for improving imperfect predictions via Multi Model Ensemble forecasts" J. Nonlinear Science, Vol 25, Issue 3, pp 489-538, doi:10.1007/s00332-015-9233-1, March 2015 (PDF)
    27. (with J. Slawinska, O. Pauluis, W. Grabowski) "Multi-scale interactions in an idealized Walker circulation: Simulations with sparse space-time superparameterizationMon. Wea. Rev., 143, 563-580, February 2015 doi:10.1175/MWR-D-14-00082.1 (PDF)
    28. (with S. Stechmann) "Identifying the Skeleton of the Madden-Julian Oscillaion in Observational Data" , Mon. Wea. Rev., 143, 395-416 January 2015, doi:10.1175/MWR-D-14-00169.1 (PDF)
    29. (with I. Grooms, S. Smith) "Stochastic Superparameterization in Quasigeostrophic Model of the Antartic Circumpolar Current" Ocean Modelling, Volume 85, pgs 1-15, doi:10.1016/j.ocemod.2014.10.001 January 2015 (PDF)
    30. (with Q. Deng, B. Khouider,) "The MJO in a Coarse-Resolution GCM with a Stochastic Multicloud Parameterization"  J. Atmos. Sci., 72, 55-74.. doi:10.1175/JAS-D-14-0120.1 January 2015 (PDF)


    1. (with N. Chen, D. Giannakis, R Herbei) "An MCMC Algorithm for parameters estimation in signals with hidden intermittent instability"  SIAM/ASA J. Uncertainty Quantification 2, p 647-669, 2014 (PDF)
    2. (with Q. Yang) "A Multi-Scale Model for the Intraseasonal Impact of the Diurnal Cycle" TCFD, 28, 605-633, 2014 (PDF)
    3. (with W. Tung, D. Giannakis) "Symmetric and antisymmetric convection signals in the Madden-Julian oscillation. Part I: Basic modes in infrared brightness temperatureJ. Atmos. Sci., 2014 DOI:10.1175/JAS-D-13-0122.1  (PDF)
    4. (with M. Branicki) "Quantifying Bayesian Filter Performance for Turbulent Dynamical Systems through Information Theory" Comm. Math. Sci., 2014 DOI: 10.4310/CMS.2014.v12.n5.a6   (PDF)
    5. (with N. Chen, X. Tong) "Information Barriers for Noisy Lagrangian Tracers in Filtering Random Incompressible Flows",  Nonlinearity 27 pg 2133-2163,  August 2014, DOI 10.1088/0951-7715/27/9/2133  (PDF)
    6. (with R. Ajaymohan, B. Khouider) "Simulation of Monsoon intraseasonal oscillations in a coarse resolution aquaplanet GCM", GRL, August 2014 DOI: 10.1002/2014GL060662 (PDF) (MOVIE) (MOVIE) (MOVIE) (MOVIE)
    7. (with N. Chen, D. Giannakis) "Predicting the cloud patterns of the Madden-Julian Oscillation through a low-order nonlinear stochastic model", GRL, August 2014, DOI: 10.1002/2014GL060876 (PDF) (Aux Material) (MOVIE
    8. (with B. Khouider, Y. Frenkel) "Effects of rotation and mid-troposphere moisture on organized convection and convectively coupled gravity waves" July 2014, Climate Dynamics, DOI: 10.1007/s00382-014-2222-5 (PDF)
    9. (with S. Thual, S. Stechmann) "Asymetrical intraseasonal events in the stochastic skeleton MJO model with seasonal cycle",  July2014 Climate Dynamics DOI 10.1007/s00382-014-2256-8  (PDF)
    10. (with I. Grooms) "Stochastic Superparameterization in a one-dimensional model for wave turbulence", Comm.Math.Sci, 2014 doi: (PDF)
    11. (with M. De La Chevrotiere, B. Khouider) "Calibration of the Multicloud Model Using Bayesian Inference", SIAM J. Sci. Stat. Computing, June 2014 DOI:10.1137/13094267X (PDF)
    12. (with D. Qi, T. Sapsis) "Blended Particle Filters for Large Dimensional Chaotic Dynamical Systems",  pgs 7511-7516, PNAS, May 2014 doi: 10.1073/pnas.1405675111  (PDF) (Suppl)
    13. (with M. Bushuk, D. Giannakis) "Reemergence Mechanisms for North Pacific Sea Ice Revealed Through Nonlinear Laplacian Spectral Analysis", J. Climate, April 2014 10.1175/JCLI-D-13-00256.1 (PDF)
    14. (with J. Harlim, A. Mahdi) "An Ensemble Kalman Filter for Statistical Estimation of Physics Constrained Nonlinear Regression Models", J. Comp. Phys., January 2014 doi:10.1016/  (PDF)
    15. (with J. Slawinska, O. Pauluis, W. Grabowski) "Multi-scale interactions in an idealized Walker circulation: Mean circulation and intra-seasonal variability", J. Atmos. Sci., March 2014 doi: (PDF)
    16. (with Y. Lee) "Conceptual dynamical model for turbulence", PNAS, March 2014 doi: 10.1073/pnas.1404914111 (PDF) (Suppl)
    17. (with I. Grooms, Y. Lee) "Ensemble Kalman Filters for Dynamical Systems with Unresolved Turbulence", J. Com. Phys, October 2013, DOI: 10.1016/  (PDF)


    1. "Realistic initiation and dynamics of the Madden-Julian Oscillation in a coarse  resolution aquaplanet GCM,", GRL, December 2013 doi: 10.1002/2013GL058187 (PDF)
    2. (with K. Peters, C. Jakob, L. Davies, B. Khoudier) "Stochastic behavior of tropical convection in observations and a multicloud model", J. Atmos. Sci., November 2013 doi: 10.1175/JAS-D-13-031.1 (PDF)
    3. (with I. Grooms) "New Perspectives on Superparameterization for Geophysical Turbulence", J. Comp. Phys., September 2013 doi:10.1016/  (PDF)
    4. (with G. Gottwald) "A mechanism for catastrophic filter divergence in data assimilation for sparse observation networks", Nonlinear Processes in Geophysics, September 2013 doi:10.5194/npg-20-705-2013 (PDF)
    5. (with I. Grooms) "Stochastic Superparameterization in Quasigeotrophic Turbulence", J. Comp. Phys., September 2013 doi: 10.1016/ (PDF)
    6. (with T. Sapsis) "Statistically Accurate Low Order Models for Uncertainty Quantification in Turbulent Dynamical Systems", PNAS, August 2013 doi: 10.1073/pnas.1313065110 (PDF)
    7. (with T. Sapsis) "Blending Modified Gaussian Closure and Non-Gaussian Reduced Subspace Methods for Turbulent Dynamical Systems", J. Nonlinear Science, July 2013 doi: 10.1007/s00332-013-9178-1 (PDF)
    8. (with S. Thual, S. Stechmann) "A Stochastic Skeleton Model for MJO" in press, J. Atmos. Sci., June 2013 doi:10.1175/JAS-D-13-0186.1 (PDF)
    9. (with T. Sapsis) "Blended reduced subspace algorithms for uncertainty quantification of quadratic systems with a stable mean state", Physica D, May 2013 doi: 10.1016/j.physd.2013.05.004 (PDF)
    10. (with J. Wiljes, I. Horenko) "An adaptive Markov chain Monte Carlo approach to time series clustering of processes with regime transition behavior," , SIAM Mult. Mod. Sim., April 2013 doi: 10.1137/120881981 (PDF)
    11. (with I. Grooms) "Efficient stochastic superparameterization for geophysical turbulence", Proc. Nat. Acad. Sci., March 2013, doi: 10.1073/pnas.1302548110  (PDF)
    12. (with M. Branicki) "Fundamental Limitations of Polynomial Chaos for Uncertainty Quantification in Systems with Intermittent Instabilities", Comm.Math.Sci., March 2013, Volume 11, Issue 1, p.55-103 (PDF)
    13. (with T. Sapsis) "A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems",  Physica D, February 26, 2013, doi:10.1016/j.physd.2013.02.009 (PDF)
    14. (with G, Hernandez-Duenas, L. Smith, S. Stechmann) "Minimal models for precipitating turbulent convection", Journal of Fluid Mechanics, February 2013, Volume 717, Pages 576-611, doi: 10.1017/jfm.2012.597 (PDF)
    15. (with Y. Frenkel, B. Khouider) "Stochastic and Deterministic Multicloud parameterizations for tropical convection", Climate Dynamics, February 2013, doi: 10.1007/s00382-013-1678-z (PDF)
    16. (with J. Harlim) "Test Models for Filtering with Superparameterization", SIAM J. Multiscale Modeling and Simulation, 11(1), 282-308. (27 pages) January 29, 2013, doi:10.1137/120890594 (PDF)
    17. (with B. Gershgorin) "Elementary models for turbulent diffusion with complex physical features: eddy diffusivity, spectrum, and intermittency," Proc. Roy. Soc., January 13, 2013, 371(1982): 20120184. doi: 10.1098/rsta.2012.0184 (PDF)
    18. (with  M. Branicki, N. Chen) "Non-Gaussian Test Models for Prediction and State Estimation with Model Errors", Chinese Annals Math., Volume 34, Issue 1, pp 29-64, January 2013 doi:10.1007/s11401-012-0759-3 (PDF)
    19. (with B. Khouider, S. Stechmann) "Climate Science in the Tropics: Waves, Vortices, and PDEs", Nonlinearity, 2013, Volume 26, R1-R68, doi:10.1088/0951-7715/26/1/R1(PDF)
    20. (with J. Harlim) "Physics Constrained Nonlinear Regression Models for Time Series", Nonlinearity, 2013 Volume 26 #1, 201-217, doi:10.1088/0951-7715/26/1/201 (PDF)
    21. (with E. Kang, J. Harlim) "Regression models with memory for the linear response of turbulent dynamical systems" Comm.Math.Sci, 2013, Volume 11, No. 2, pp 481-498 (PDF)


    1.  (with Y. Frenkel, B. Khouider) "Simple models for the diurnal cycle and convectively coupled waves," TCFD, December 2012, 10.1007/s00162-012-0291-9 (PDF)
    2.  (with D. Giannakis) "Nonlinear Laplacian spectral analysis: Capturing intermittent and low-frequency spatiotemporal patterns in high-dimensional data", American Statistical Association, December 19, 2012, doi:10.1002/sam.11171 (PDF)
    3. (with D. Giannakis) "Limits of predictability in the North Pacific sector of a comprehensive climate model", Geophysical Research Letters, December 18, 2012, Volume 39, Issue 24, doi:10.1029/2012GL054273 (PDF)
    4. (with I. Grooms, K. S. Smith) "Multiscale models for sypnoptic-mesoscale interactions in the ocean", Dynamics of Atmospheres and Oceans, Volume 58, Pages 95-107, November 2012, doi:10.1016/j.dynatmoce.2012.09.003 (PDF)
    5. (with M. Branicki) "Lessons in Uncertainty Quantification for Turbulent Dynamical System", Discrete and Continuous Dynamical Systems, September 2012, Volume 32, Issue 9, Pages: 3133 - 3221 doi: 10.3934/dcds.2012.32.3133 (PDF)
    6. (with Q. Deng, L. Smith) "Tropical cyclogenesis and vertical shear in a moist Boussinesq model", J. Fluid Mech., Volume 706, pp384-412, September 2012, 10.1017/jfm.2012.260 (PDF)
    7. (with M. Branicki) "Quantifying uncertainty for predictions with model error in non-Guassian systems with intermittency", Nonlinearity, Volume 25 #9, August 3, 2012 doi: 10.1088/0951-7715/25/9/2543 (PDF)
    8. (with B. Gershgorin) "Quantifying uncertainty for climate change and long range forecasting scenarios with model errors. Part I: Gaussian models", J. Climate, July 2012, Vol 25, pp. 4523-4548, doi: 10.1175/JCLI-D-11-00454.1 (PDF)
    9. (with Y. Yuan) "Fundamental Limitations of Ad Hoc Linear and Quadratic Multi-Level Regression Models for Physical Systems," Discrete and Continuous Dynamical Systems, Volume 17, Issue 4, Pages: 1333 - 1363,  June 2012, doi:10.3934/dcdsb.2012.17.1333 (PDF)
    10. (with D. Giannakis) "Comparing low-frequency and intermittent variability in comprehensive climate models through nonlinear Laplacian spectral analysis", Geophysical Research Letters, Volume 39, Issue 10 May 30, 2012, doi: 10.1029/2012GL051575 (PDF)
    11. (with S. Stechmann, D. Skjorshammer) "Convectively coupled wave-environment interactions," TCFD, May 2012, 10.1007/s00162-012-0268-8 (PDF)
    12. (with J. Harlim) "Test Models for Filtering and Prediction of Moisture-Coupled Tropical Waves," QJRMS, Volume 139, Issue 670, pp 119-136, May 30, 2012, doi: 10.1002/qj.1956 (PDF)
    13. "Challenges in Climate Science and Contemporary Applied Mathematics," Invited Paper for the Special Volume of Communications on Pure and Applied Mathematics for 75th Anniversary of the Courant Institute, Volume 65, Issue 7, pgs 920-948, April 12, 2012, doi: 10.1002/cpa.21401 (PDF)
    14. (with J. Sukhatme, L. Smith) "Two-dimensional Moist Stratified Turbulence," Physics of Fluids, Volume 24, Issue 3, March 19, 2012, doi:10.1063/1.3694805 (PDF)
    15. (with D. Giannakis) "Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability," PNAS, Feburary 14, 2012, doi: 10.1073/pnas.1118984109  (PDF) (Suppl) (Suppl Table) (Movie 1) (Movie 2)
    16.  (with S. Keating, K. S. Smith) "New methods for estimating poleward eddy heat transport using satellite altimetry," Monthly Weather Review,(early online release), 140, 1703-1722 February 9, 2012, doi:10.1175/MWR-D-11-00145.1 (PDF)
    17.  (with M. Branicki) "Dynamic Stochastic Superresolution of sparseley observed turbulent systems", Journal of Computational Physics, 2012, doi: 10.1016/ (PDF)
    18. (with J. Biello) "A multi-scale model for the modulation and rectification of ITCZ", J. Atmos. Sci., 2012, 10.1175/JAS-D-12-0142.1 (PDF)
    19.  (with D. Giannakis, I. Horenko) "Information Theory, Model Error, and Predictive Skill of Stochastic Models for Complex Nonlinear Systems," Physica D, 2012, Volume 241 #20, pages 1735-1752 (PDF)




    1. (with B. Khouider, Y. Han, S. Stechmann) "Multi-scale waves in an MJO background and CMT feedback," Journal of Atmospheric Sciences, November 18, 2011, doi: 10.1175/JAS-D-11-0152.1 (PDF)
    2. (with Y. Frenkel, B. Khouider) "Simple multicloud models for the diurnal cycle of tropical precipatiation. Part II: The continental regime," Journal of Atmospheric Sciences, October 2011, doi: 10.1175/2011JAS3600.1 (PDF)
    3. (with Y. Frenkel, B. Khouider) "Simple Multiclouds Models for the Diurnal Cycle of Tropical Precipitation. Part I: Formulation and the Case of the Tropical Oceans," JAS, (early online release), Vol. 68, Issue 10, October 2011, pp. 2169-2190(PDF)
    4. (with D. Giannakis) "Quantifying the Predictive Skill in Long-Range Forecasting. Part II: Model Error in Coarse-Grained Markov Models with Application to Ocean-Circulation Regimes," J. of Climate,2011, doi: 10.1175/JCLI-D-11-00110.1 (PDF)
    5. (with D. Giannakis) "Quantifying the Predictive Skill in Long-Range Forecasting. Part I: Coarse-grained Predictions in a Simple Ocean Model," J. of Climate, 2011, doi: 10.1175/2011JCLI4143.1 (PDF)
    6. (with M. Branicki, B. Gershgorin) "Filtering Skill for Turbulent Signals for a Suite of Nonlinear and Linear Extended Kalman Filters," , J. Comp. Phys., 2011, doi: 10.1016/ (PDF)
    7. (with Y. Frenkel, B. Khouider) "Using the Stochastic Multicloud Model to Improve Tropical Convective Parameterization: A Paradigm Example," J. Atmos. Sci, October 2011, doi: 10.1175/JAS-D-11-0148.1 (PDF)
    8. (with R. Abramov) "Low Frequency Climate Response of Quasigeostropic Wind-Driven Ocean Circulation," J. Phys. Ocean, September 8, 2011, doi: 10.1175/JPO-D-11-052.1 (PDF)
    9. (with Gershgorin) "The Link Between Statistical Equilibrium Fidelity and Forecasting Skill for Complex Systems with Model Error," PNAS, July 18, 2011, doi: 10.1073/pnas.1108132108 (PDF)
    10. (with S. Stechmann) "Nonlinear Dynamics and Regional Variations in the MJO Skeleton," J. Atmos. Sci., June 22, 2011m, doi: 10.1175/JAS-D-11-053.1 (PDF)
    11. (with B. Gershgorin) "Improving Model Fidelity and Sensitivity for Complex Systems through Empirical Information Theory," PNAS, June 6, 2011, doi: 10.1073/pnas.1105174108,  (PDF)
    12. (with B. Khouider, A. St-Cyr, J. Tribbia) "MJO and convectively coupled waves in a coarse resolution GCM with a simple multicloud parametrization," JAS, (early online release) Volume 68, Issue 2, February 2011, pp. 240-264  (PDF)
    13. (with Y. Yuan) "Invariant Measures and Asymptotic Gaussian Bounds for Normal Forms of Stochastic Climate Model," in press, Chinese Annals of Mathematics, Series B, Vol. 32, Number 3, 2011, pp. 343-368 (PDF)
    14. (with B. Gershgorin) "Filtering a Statistically Exactly Solvable Test Model for Turbulent Tracers from Partial Observations," J. Comp. Phys, Vol. 230, Issue 4, February 2011, pp. 1602-1638 (PDF)


    1. (with P. Souganidis) "The Existence and Uniqueness of Weak Solutions for Precipitation Fronts: A Novel Hyperbolic Free Boundary Problem in Several Space Variables," Comm. Pure Appl. Math., Vol. 63, Issue 10, October 2010, pp. 1351-1361 (PDF)
    2. (with B. Gershgorin) "A Test Model for Fluctuation-Dissipation Theorems with Time Periodic Statistics," Physica D, Vol 239, Issue 17, September 2010, pp. 1741-1757 (PDF)
    3. (with B. Gershgorin) "Quantifying Uncertainty in Climate Change Science Through Empirical Information Theory," PNAS, Vol. 107, No 34, August 2010, pp. 14958-14963 (PDF) (SI-PDF)
    4. (with D. Ruprecht, R. Klein) "Modulation of Internal Gravity Waves in a Multiscale Model for Deep Convection on Mesoscales," JAS, Vol. 67, Issue 8, August 2010, pp. 2504-2519 (PDF)
    5. (with Y. Xing, M. Mohammadian) "Moist Multi-Scale Models for the Hurricane Embryo," JFM, Vol. 657, June 2010, pp. 478-601 (PDF)
    6. (with J. Harlim, B. Gershgorin) "Mathematical Strategies for Filtering Turbulent Dynamical Systems," Discrete and Continuous Dynamical Systems, Vol. 27, No. 2, June 2010, pp. 441-486 (PDF)
    7. (with J. Biello) "Intraseasonal Multi-Scale Moist Dynamics of the Tropical Troposphere," Comm. Math. Sci., Vol. 8, Issue 2, June 2010, pp. 519-540 (PDF)
    8. (with M.A. Katsoulakis, A. Sopasakis) "Hybrid deterministic stochastic systems with Microscopic Look-ahead Dynamics," Comm. Math. Sci., Vol. 8, Issue 2, June 2010, pp. 409-437 (PDF)
    9. (with J. Harlim) "Filtering Turbulent Sparsely Observed Geophysical Flows," Mon. Wea. Rev., Vol. 138, Issue 4, April 2010, pp. 1050-1083 (PDF)
    10. (with M. Hairer) "A Simple Framework to Justify Linear Response Theory," Nonlinearity, Vol. 23, Issue 4, April 2010, pp. 909-922 (PDF)
    11. (with B. Gershgorin, Y. Yuan) "Low Frequency Response and Fluctuation-Dissipation Theorems: Theory and Practice," JAS, available electronically, Vol 67, April 2010, pp. 1186-1201 (PDF)
    12. (with J. Harlim,) "Catastrophic Filter Divergence in Filtering Nonlinear Dissipative Systems," Comm. Math. Sci., Vol. 8, Issue 1, March 2010, pp. 27-43 (PDF)
    13. (with B. Gershgorin) "Filtering A Nonlinear Slow-Fast System with Strong Fast Forcing," Comm. Math. Sci., Vol. 8, Issue 1, March 2010, pp. 67-92 (PDF)
    14. (with Y. Xing) "New Multi-Scale Models on Mesoscales and Squall Lines," Comm. Math. Sci., Vol. 8, Issue 1, March 2010, pp. 113-134 (PDF)
    15. (with X. Wang) "Linear Response Theory for Statistical Ensembles in Complex Systems with Time-Periodic Forcing," Comm. Math. Sci., Vol. 8, Issue 1, March 2010, pp. 145-172 (PDF)
    16. (with B. Khouider, J. Biello) "A Stochastic Multicloud Model for Tropical Convection," Comm. Math. Sci., Vol. 8, Issue 1, March 2010, pp. 187-216 (PDF)
    17. (with R. Abramov, B. Gershgorin) "High Skill in Low Frequency Climate Response through Fluctuation Dissipation Theorems Despite Structural Instability," PNAS, Vol. 107, no. 2, January 2010, pp 581 - 586 (PDF)
    18. (with B. Gershgorin, J. Harlim) "Test Models for Improving Filtering with Model Errors through Stochastic Parameter Estimation," J. Comp. Phys., Vol. 229, Issue 1, January 2010, pp. 1-31 (PDF)
    19. (with B. Gershgorin, J. Harlim) "Improving Filtering and Prediction of Spatially Extended Turbulent Systems with Model Errors Through Stochastic Parameter Estimation," J. Comp. Phys., Vol. 229, Issue 1, January 2010, pp. 32-57 (PDF)


    1. (with Y. Xing, W. Grabowski) "New Efficient Sparse Space-Time Algorithms for Superparamterization on Mesoscales," Mon. Wea. Rev., Vol 137, Issue 12, December 2009, pp. 4307-4323 (PDF)
    2. (with S. Stechmann) "The Madden-Julian oscilltion and the multiscale hierarchy of organized convection," UCLA Tropical Meteorology and Climate Newsletter, 2009 (PDF)
    3. (with S. Stechmann) "Gravity Waves in Shear and Implications for Organized Convecion," J. Atmos. Sci., Vol. 66, Issue 9, September 2009, pp. 2579-2599 (PDF)
    4. (with C. Franzke, I. Horenko, R. Klein) "Systematic Metastable Atmospheric Regime Identification in an AGCM," J. Atmos. Sci, Vol. 66, Issue 7, July 2009, pp. 1997-2012 (PDF)
    5. (with S. Stechmann) "The Skeleton of Tropical Intraseasonal Oscillations" PNAS, Vol. 106, no. 21, May 2009, pp. 8417-8422 (PDF)
    6. (with M. Grote,) "Mathematical Test Models for Superparameterization in Anisotropic Turbulence," PNAS, Vol. 106, no. 14, April 2009, pp. 5470 - 5476 (PDF)
    7. (with C. Franzke, D. Crommelin,) "Normal Forms for Reduced Stochastic Climate Models," PNAS, Vol. 16, no. 10, March 2009, pp. 3649-3653 (PDF)
    8. (with R. Abramov,) "New Algorithms for Low Frequency Climate Response," J. Atmos. Sci.,  Vol. 66, Issue 2, February 2009, 286 - 309 (PDF)
    9. (with S. Stechmann,) "A Simple Dynamical Model with Features of Convective Momentum Transport," J. Atmos. Sci.,  Vol. 66, Issue 2, Feb 2009, 373 - 392 (PDF)


    1. (with Y. Xing, M. Mohammadian,) "Vertically Sheared Horizontal Flow with Mass Sources: A Canonical Balanced Model," GAFD, Vol. 102, Issue 6, December 2008, pp. 543-591 (PDF)
    2. (with S. Stechmann,) "Stochastic Models for Convective Momentum Transport," PNAS, November 2008, Vol. 105, no. 46, pp. 17614 - 17619 (PDF)
    3. (with B. Khouider,) "Equatorial Convectively Coupled Waves in a Simple Multicloud Model,"  J. Atmos. Sci., Vol. 65, Issue 11, November 2008, pp. 3376-3397 (PDF)
    4. (with B. Gershgorin,) "A Nonlinear Test Model for Filtering Slow-Fast Systems," Comm. Math. Sci.,  Vol. 6, Issue 3, September 2008, pp. 611-649 (PDF)
    5. (with A. Gritsoun, G. Branstator,) "Climate Response of Linear and Quadratic Functionals using the Fluctuation Dissipation Theorem," J. Atmos. Sci., Vol. 65, Issue 9, Sept 2008, pp. 2824-2841 (PDF)
    6. (with C. Franzke, B. Khouider,) "An Applied Mathematics Perspective on Stochastic Modelling for Climate," Phil. Trans. Roy. Soc., Vol. 366, (1875), July 2008, pp. 2427 - 2453 (PDF)
    7. (with X. Wang,) "Note on the Emergence of Large Scale Coherent Structure under Small Scale Random Bombardments: The Discrete Case," J. Math. Phys., Vol. 48, Issue 6, June 2007, 065501 (PDF)
    8. (with J. Harlim,) "Filtering Nonlinear Dynamical Systems with Linear Stochastic Models," Nonlinearity, 21, Issue 6, June 2008, pp. 1281 - 1306 (PDF)
    9. (with S. Stechmann, B. Khouider,) "Nonlinear Dynamics of Hydrostatic Internal Gravity Waves" Theoretical and Computational Fluid Dynamics, May 2008, 22: pp. 407 - 432 (PDF)
    10. (with J. Harlim,) "Mathematical Strategies for Filtering Complex Systems: Regularly Spaced Sparse Observations," J. of Comp. Phys., Vol. 227, Issue 10, May 2008, pp. 5304 - 5341 (PDF)
    11. (with C. Franzke, D. Crommelin, A.Fischer,) "A Hidden Markov Model Perspective on Regimes and Metastability in Atmospheric Flows," J. Climate,  Vol. 21, Issue 8, April 2008, pp. 1740 - 1757 (PDF)
    12. (with O. Pauluis, D. Frierson,) "Precipitation fronts and the reflection and transmission of tropical disturbances," Quarterly J. of Roy. Met. Soc.,Vol. 134, Issue 633, April 2008, Part B, pp. 913 - 930  (PDF)
    13. (with E. Castronovo, J. Harlim,) "Mathematical Test Criteria for Filtering Complex Systems: Plentiful Observations," J. of Comp. Phys., Vol. 227, Issue 7, March 2008, pp. 3678 - 3714 (PDF)
    14. (with B. Khouider,) "Multicloud Models for Organized Tropical Convection: Enhanced Congestus Heating," J. Atmos. Sci., Vol. 65, Issue 3, March 2008, pp. 895 - 914 (PDF)
    15. (with A. Dutrifoy, S. Schochet,) "A Simple Justification of the Singular Limit for Equatorial Shallow-Water Dynamics," CPAM,  Vol. 62, March 2009, pp. 322- 333 (PDF) - published online March 2008
    16. (with R. Abramov,) "New Approximations and Tests of Linear Fluctuation-Response for Chaotic Nonlinear Forced-Dissipative Dynamical Systems," J. Nonlinear Sci., Vol 18, 2008, pp. 303-341 (PDF)




    1. (with R. Abramov,) "Blended Response Algorithms for Linear Fluctuation-Dissipation for Complex Nonlinear Dynamical Systems," Nonlinearity, 20, Issue 12, December 2007, 2793 - 2821 (PDF)
    2. (with C. Franzke, G. Branstator,) "The Origin of Nonlinear  Signatures of Planetary Wave Dynamics: Mean Phase Space Tendencies and Their Information,"  J. Atmos. Sci., Vol. 64, Issue 11, November 2007, pp. 3987-4003 (PDF)
    3. (with A. Dutrifoy,) "Fast Wave Averaging for the Equatorial Shallow Water Equations," Comm. PDE, Vol. 32, Issue 10, October 2007, pp. 1617 - 1642 (PDF)
    4. "Multiscale Models with Moisture and  Systematic Strategies for Superparameterization," J. Atmos. Sci., Vol. 64, Issue 7, July 2007, pp. 2726 - 2734 (PDF)
    5. (with J. Harlim,) "Information flow between subspaces of complex dynamical systems," PNAS,  Vol. 104, 23, June 2007, pp. 9558 - 9563 (PDF)
    6. (with S. Stechmann, B. Khouider,) "Madden-Julian Oscillation analog and intraseasonal variability in a multicloud model above the equator," PNAS, Vol. 104, June 2007, pp. 9919-9924 (PDF)
    7. (with J. Biello, M. Moncreiff,) "Meridional momentum flux and superrotation in the multi-scale IPESD MJO model," J. Atmos. Sci., Volume 64, Issue 5, May 2007, pp. 1636-1651 (PDF)
    8. "New Multiscale Models and Self-Similarity in Tropical Convection", J. Atmos. Sci., Volume 64, Issue 4, April 2007, pp. 1393-1404  (PDF)
    9. (with B. Khouider,) "A Simple Multicloud Parameterization for Convectively Coupled Tropical Waves. Part II: Nonlinear Simulations" J. Atmos. Science, 64, February 2007, pp. 381-400 (PDF)
    10. (with M. Grote,) "Explicit off-line criteria for stable accurate time filtering of strongly unstable spatially extended systems," PNAS, Vol. 104, January 2007, pp. 1124-1129, (PDF)
    11. (with M.A. Katsoulakis, A. Sopaskis,) "Prototype hybrid couplings of macroscopic deterministic models and microscopic stochastic lattice dynamics," AMS Contemporary Mathematics, edited by Gui-Chen and Mark Pinsky, 2007, Vol 429, pp. 143-187 (PDF)


    1. (with R. Klein,) "Systematic Multiscale Models for Deep Convection on Mesoscales," Theoretical and Computational Fluid Dynamics, 20, 2006, pp. 525-551(PDF)
    2. (with B. Khouider,) "Multicloud Convective Parameterizations with Crude Vertical Structure," Theoretical and Computational Fluid Dynamics, 20, 2006, pp. 351-375 (PDF)
    3. (with S. Stechmann,) "The Structure of Precipitation Fronts for Finite Relaxation Time," Theoretical and Computational Fluid Dynamics, 20, 2006, pp. 377-404, (PDF)
    4. (with B. Khouider,) "Model Multicloud Parameterizations for Convectively Coupled Waves: Detailed Nonlinear Wave Evolution," Dynamics Atmosphere and Ocean, 42, 2006, pp. 59-80, (PDF)
    5. (with J. Biello,) "Transformations for temperature flux in multiscale models of the tropics," Theoretical and Computational Fluid Dynamics, 20, 2006, pp. 405-420 (PDF)
    6. (with J. Biello,) "Modulating synoptic scale convective activity and boundary layer dissipation in the IPESD models of the Madden-Julian Oscillation," Dynamics Atmospheres and Oceans, 60, 2006, pp. 393-408, (PDF)
    7. (with A. Bourlioux, O. Volkov,) "Conditional statistics for a passive scalar with a mean gradient and intermittency," Physics of Fluids, Jan. 2006, 18, 104102  (PDF)
    8. (with M. Grote,) "Stable time filtering of strongly unstable spatially extended systems", PNAS, v103, no. 20, 2006, pp. 7548-7553, . (PDF)
    9. (with C. Franzke, A. Fischer, D. Crommelin,) "Distinct metastable atmospheric regimes despite nearly Gaussian statistics: A paradigm model," PNAS, v. 103, no. 22, 2006, pp. 8309-8314 (PDF)
    10. (with A. Dutrifoy,) "The Dynamics of Equatorial Long Waves: A Singular Limit with Fast Variable Coefficients," Comm. Math. Sci., Vol. 4, No. 2, 2006, pp. 375 - 397 (PDF)
    11. (with M.A. Katsoulakis, A. Sopaskis,) "Intermittency, Metastability and Coarse Graining for Coupled Deterministic-Stochastic Lattice Systems," Nonlinearity, 19, 2006, pp.1021-1047(PDF)
    12. (with R. Kleeman) "Predictability in a model for geophysical turbulence", J. Atmos. Science, Vol. 62, No. 8, 2006, pp. 2864-2879 (PDF)
    13. (with B. Khouider,) "A Simple Multicloud Parameterization for Convectively Coupled Tropical Waves. Part I: Linear Analysis," J. Atmos. Science, Vol. 63, No. 4, April 2006, pp. 1308-1323(PDF)
    14. (with C. Franzke,) "Low Order Stochastic Mode Reduction for a Prototype Atmospheric GCM," J. Atmos. Sci., Vol. 63, No. 2, 2006, pp. 457-479(PDF)
    15. (with X. Wang), "The Emergence of Large Scale Coherent Structure under Small Scale Random Bombardments", CPAM, Volume 59, Issue 4, 2006, pp.467-500. (PDF)
    16. (with I. Timofeyev, E. Vanden-Eijnden) "Stochastic Models for Selected Slow Variables in Large Deterministic Systems", Nonlinearity, 19, No 4, April 2006, pp.769-794(PDF)


    1. (with M.A. Katsoulakis, A. Sopaskis,) "Multiscale Couplings in Prototype Hybrid Deterministic/Stochastic Systems: Part II, Stochastic Closures," Comm. Math. Sciences, Vol. 3, No. 3, Sept. 2005, pp. 453-478(PDF)
    2. (with B. Khouider), "A Non Oscillatory Balanced Scheme for an Idealized Tropical Climate Model; Part I: Algorithm and Validation", Theoretical and Computational Fluid Dynamics, 19 (5);2005, pp. 331-354( PDF)
    3. (with B. Khouider), "A Non Oscillatory Balanced Scheme for an Idealized Tropical Climate Model; Part II: Nonlinear Coupling and Moisture Effects", Theoretical and Computational Fluid Dynamics19(5): 2005, pp. 355-375(PDF)
    4. (with X. Wang), "Validity of the One and One-Half Layer Quasi-Geostrophic Model and Effective Topography", Comm. PDE, Volume 30, Number 9, 2005, pp. 1305 - 1314 (PDF)
    5. (with J. Biello), "A New Multi-Scale Model for the Madden-Julian Oscillation", J. Atmos. Sci., Vol. 62, No. 6, June 2005, pp. 1694-1721(PDF)
    6. (with C. Franzke and E. Vanden-Eijnden) "Low-order Stochastic Mode Reduction for a Realistic Barotropic Model Climate", J. Atmos. Sci., Vol. 62, No. 6, June 2005, pp. 1722-1745 (PDF)
    7. (with R. Abramov and R. Kleeman) "Information Theory and Predictability for Low Frequency Variability", J. Atmos. Sci., Vol. 62, No. 1, January 2005, pp. 65-87(PDF)


    1. (with D. Cai and K. Haven) "Quantifying Predictability in a Simple Model with Complex Features, I: The Perfect Predictability Scenario", Stochastics and Dynamics, Vol. 4, No. 4, 2004, pp. 547-569(PDF)
    2. (with I. Timofeyev) "Low Dimensional Chaotic Dynamics Versus Intrinsic Stochastic Noise: A Paradigm Model", Physica D, Vol. 199, Issues 3-4, December 2004, pp.339-368(PDF)
    3. (with R. Abramov) "Quantifying Uncertainty for non-Gaussian Ensembles in Complex Systems", SIAM J. Sci. Stat. Comp., Vol. 26, No. 2, December 2004, pp. 411-447(PDF)
    4. (with D. Frierson, O. Pauluis), "Large Scale Dynamics of Precipitation Fronts in the Tropical Atmosphere: A Novel Relaxation Limit", Comm. Math. Sci., Vol. 2, No. 4, pp. 591-626, December 2004 (PDF)
    5. (with K. Haven and R. Abramov), "Quantifying Predictability Through Information Theory: Small Sample Estimation in a Non-Gaussian Framework", J. Comp. Physics, Vol. 206, 334-362, September 2004. (PDF)
    6. (with D. Crommelin) "Strategies for model reduction: comparing different optimal bases", J. Atmos. Sci., Vol. 61, No. 17, September 2004, pp. 2206-2217(PDF)
    7. (with B. Khouider, G. Kiladis, K. Straub, and M. Shefter), "A Model for Convectively Coupled Tropical Waves: Nonlinearity, Rotation, and Comparison with Observations", J. Atmos. Sci., Vol. 61, Issue 17, September 2004, pp. 2188-2205(PDF)
    8. (with J. Biello) "A Multi-scale Model for Tropical Intraseasonal Oscillations", Proc. Nat. Acad. Sci., 101, no. 14, April 2004, pp. 4736-4741(PDF)
    9. (with J. Biello) "Boundary Layer Dissipation and the Nonlinear Interaction of Equatorial Baroclinic and Barotropic Rossby Waves", Geophys. Astrophys. Fluid Dynamics, Volume 98, Issue 2, April 2004, pp. 85-127 (PDF)
    10. (with M. Katsoulakis and A. Sopasakis), "Multiscale Couplings in Prototype Hybrid Deterministic/Stochastic Systems: Part I, Deterministic Closures, Comm. Math. Sci.,Vol. 2, Issue 2, June 2004, pp. 255-294(PDF)
    11. (with J. Biello) "The Effect of Meridional and Vertical Shear on the Interaction of Equatorial Baroclinic and Barotropic Rossby Waves", Studies Appl. Math.,Volume 90, Issue 4, May 2004, pp. 341-390 (PDF)


    1. (with R. Abramov), "Discrete Approximations with Additional Conserved Quantities: Deterministic and Statistical Behavior", Methods and Applications of Analysis, Vol. 10, Issue 2, June 2003, pp. 151-190 (PDF)
    2. (with M. Katsoulakis and D. Vlachos), "Coarse-Grained Stochastic Processes and Monte-Carlo Simulations in Lattice Systems", J. Comp. Phys., 186, 2003, pp. 250-278(PDF)
    3. (with B. Khouider and M. Katsoulakis), "Coarse-grained stochastic models for tropical convection and climate", Proc. Natl. Acad. Sci., 100, no. 21, October 2003, pp. 11941-11946(PDF)
    4. (with J. Biello), "The Nonlinear Interaction of Barotropic and Equatorial Baroclinic Rossby Waves", J. Atmos. Sci.,60, August 2003, pp. 1809-1821(PDF)
    5. (with I. Timofeyev and E. Vanden-Eijnden), "Systematic Strategies for Stochastic Mode Reduction in Climate", J. Atmos. Sci., Vol. 60, July 2003, pp.1705-1722(PDF)
    6. (with P. Kramer), "Stochastic Mode Reduction for the Immersed Boundary Method", SIAM J. Appl. Math., 64, no. 2, 2003, pp. 369-400 (PDF)
    7. (with P. Kramer), "Stochastic Mode Reduction for Particle-Based Simulation Methods for Complex Microfluid Systems", SIAM J. Appl. Math.,64, no. 2, 2003, pp. 401-422(PDF)
    8. (with R. Abramov and G. Kovacic), "Hamiltonian Structure and Statistically Relevant Conserved Quantities for the Truncated Burgers-Hopf Equation", CPAM, Vol. 56, Issue 1, 2003, pp. 1-46 (PDF)
    9. (with R. Klein), "Systematic Multi-Scale Models for the Tropics", J. Atmos. Sci., 60, 357-372, 2003. (PDF)
    10. (with R. Abramov), "Statistically Relevant Conserved Quantities for Truncated Quasi-Geostrophic Flow", Proc. Natl. Acad. Sci., 100, no. 7, 3841-3846, April, 2003. (PDF)
    11. (with M. Katsoulakis and D. Vlachos), "Coarse-Grained Stochastic Processes for Microscopic Lattice Systems", Proc. Natl. Acad. Sci., 100, no. 3, 782-787, February, 2003. (PDF)
    12. (with P. Kramer and E. Vanden Eijnden), "Closure Approximations for Passive Scalar Turbulence: A Comparative Study on an Exactly Solvable Model with Complex Features", J. Stat. Physics, 111, 565-679, 2003. (PDF)



    1. (with R. Kleeman and I. Timofeyev), "Quantifying Predictability in a Model with Statistical Features of the Atmosphere", Proc. Natl. Acad. Sci., 99, no. 24, 15291-15296, November 2002. (PDF)
    2. (with R. Kleeman and D. Cai), "A Mathematical Framework for Quantifying Predictability Through Relative Entropy", Methods and Applications of Analysis, 9, no. 3, 425-444, September, 2002. (PDF)
    3. (with A. Bourlioux), "Elementary Models with Intermittency for Passive Scalars with a Mean Gradient", Phys. Fluids, 14, no. 2, 881-897, February 2002. (PDF)
    4. (with M. DiBattista and J. Marshall), "A Statistical Theory for the Patchiness of Open-Ocean Deep Convection: The Effect of Preconditioning", J. Phys. Oceanography, 32, 599-626, 2002. (PDF)
    5. (with B. Khouider), "Stochastic and Mesoscopic Models for Tropical Convection", Proc. Natl. Acad. Sci., 99, no. 3, 1123-1128, February 2002. (PDF)
    6. (with I. Timofeyev), "Statistical Mechanics for Truncations of the Burgers-Hopf Equation: A Model for Intrinsic Stochastic Behavior with Scaling", Milan J. Math., 70, 39-96, 2002. (PDF)
    7. (with I. Timofeyev and E. Vanden Eijnden), "A priori Tests of a Stochastic Mode Reduction Strategy", Physica D, 170, no. 3-4, 206-252, 2002. (PDF)


    1. (with X. Wang), "The Selective Decay Principle for Barotropic Geophysical Flows", Methods Appl. Analysis, 8, No. 4, 579-594, December 2001.
    2. (with R. H. Goodman, and D.W. McLaughlin), "Modulations in the Leading Edges of Midlatitude Storm Tracks", SIAM J. Appl. Math., 62, no. 3, 746-776, December 2001. (PDF)
    3. (with B. Khouider), "A numerical strategy for efficient modeling of the equatorial wave guide", Proc. Natl. Acad. Sci. 98 no. 4, 1341-1346, 2001. (PDF)
    4. (with M. Shefter), "Waves and instabilities for model tropical convective parameterizations", J. Atmos. Sci. 58, no. 8, 896-914, 2001. (PDF)
    5.  (with M. DiBattista), "Equilibrium statistical predictions for baroclinic vortices: the role of angular momentum", Theor. Comp. Fluid Dynamics, 14, no. 5, 293-322, 2001. (PDF)
    6. (with C. Lim), "Point vortex dynamics for coupled surface/interior QG and propagating Heton clusters in models for ocean convection", Geophys. Astrophys. Fluid Dynamics, 94, 177-220, 2001.
    7. (with M. DiBattista and M. Grote), "Meta-stability of equilibrium statistical structure for prototype geophysical flows with damping and driving", Physica D, 151, 271-304, 2001. (PDF)
    8.  (with M. Shefter), "Models for stratiform instability and convectively coupled waves", J. Atmos. Sci., 58, 1567-1584, 2001. (PDF)
    9. (with D. Cai, D. McLaughlin and E. Tabak), "Dispersive wave turbulence in one dimension", Physica D., 152-153, 551-572, 2001. (PDF)
    10. (with I. Timofeyev and E. Vanden Eijnden), "A mathematical framework for stochastic climate models", Comm. Pure Applied Math., LIV, 891-974, 2001. (PDF)
    11. (with A. Bourlioux and B. Khouider), "Parametrizing turbulent flame speed—Part I: unsteady shears, flame residence time and bending", Theoretical and Computational Combustion, 5, 295-318, 2001.
    12. (with B. Turkington, K. Haven and M. DiBattista), "Statistical Equilibrium Prediction of Jets and Spots on Jupiter", Proc. Natl. Acad. Sci., 98, no. 22, 12346-12350, 2001. (PDF)


    1. (with P. Lions), "Equilibrium statistical theory for nearly parallel vortex filaments", Comm. Pure Applied Math., 53, 76-142, 2000. (PDF)
    2. "Real world turbulence and modern applied mathematics", In Mathematics: Frontiers and Perspectives 2000, International Mathematical Union, 2000, 137-151, published by American Math. Society.
    3. (with M. Shefter), "Nonlinear instability of elementary stratified flows at large Richardson number", Chaos, 10, 3-27, 2000. (PDF)
    4. (with M. Dibattista), "An equilibrium statistical theory for large-scale features of open-ocean convection’, J. Phys. Oceanography, 30(6), 1325-1353, 2000. (PDF)
    5. (with M. Grote), "Crude closure for flow with topography through large scale statistical theory", Nonlinearity, 13, 569-600, 2000. (PDF)
    6. (with T. Souganidis), "The effect of turbulence on mixing in prototype reaction diffusion systems", Comm. Pure Applied Math., 53, 1284-1304, 2000. (PDF)
    7. (with A. Bourlioux), "An elementary model for the validation of flamelet approximations in nonpremixed turbulent combustion", Comb. Theory & Modeling, 4, 189-210, 2000. (PDF)
    8. (with I. Timofeyev), "Remarkable statistical behavior for truncated Burgers-Hopf dynamics", Proc. Natl. Acad. Sci., 97(23), 12413-12417, 2000. (PDF)
    9. (with M. Grote and M.G. Shefter), "Analytical Models for Vertical Collapse and Instability in Stably Stratified Flows", IUTAM Symposium on Developments in Geophysical Turbulence, edited by Kerr, Herring and Kimura, 153-177, 2000.
    10. (with S.-Y. Shim and X. Wang), "Selective decay for geophysical flows", Methods Appl. Analysis, 7, no. 3, 551-554, 2000.


    1. (with M. Dibattista), "An equilibrium statistical model for the spreading of open-ocean convection", Proc. Natl. Acad. Sci., 96, 6009-6013, 1999. (PDF)
    2. (with P. Kramer), "Simplified models for turbulent diffusion: theory, numerical modeling, and physical phenomena", Phys. Reports, 314(4-5), 238-574, 1999. (PDF)
    3. (with E. Tabak, R. Rosales and C. Turner), "Interaction of large scale equatorial waves and dispersion of Kelvin waves through topographic resonances", J. Atmos. Sci., 56, 4118-4133, 1999. (PDF)
    4. (with I. Timofeyev and E. Vanden Eijnden), "Models for stochastic climate prediction", Proc. Natl. Acad. Sci., 96(26), 14687-14691, 1999. (PDF)
    5. (with D. Cai, D. McLaughlin and E. Tabak), "Spectral bifurcations in dispersive wave turbulence", Proc. Natl. Acad. Sci., 96(25), 14216-14221, 1999. (PDF)


    1. "Simplified Asymptotic Equations for Slender Vortex Filaments", Proc. Of Symposia in Applied Math., 54, 237-280, 1998.
    2. (with P. Embid), "Low Froude number limiting dynamics for stably stratified flow with small or fixed Rossby Numbers", Geophys. Astrophys. Fluid Dynamics, 87(1-2), 1-50, 1998. (PDF)
    3. (with M. Shefter), "The instability of stratified flows at large Richardson numbers", Proc. Natl. Acad. Sci., 95, 7850-7853, 1998. (PDF)
    4. (with M. Grote and C.G. Ragazzo), "Dynamic mean flow and small scale interaction through topographic stress", J. Nonlinear Sci., 8, 1-42, 1998. (PDF)
    5. (with P. Embid), "Averaging over fast waves for geophysical flows with unbalanced initial data", Theor. Comp. Fluid Dynamics, 11, 155-169, 1998. (PDF)
    6. (with T. Souganidis), "Flame fronts in a turbulent combustion model with fractal velocity fields", Comm. Pure Appl. Math. - Fritz John Volume 51, 1337-1348, 1998.
    7. (with M. Shefter), "Elementary stratified flows with instability at large Richardson number", J. Fluid Mech., 376, 319-350, 1998. (PDF)
    8. (with M. Dibattista and B. Turkington), "Prototype geophysical vortex structures via large-scale statistical theory", Geophys. Astrophys. Fluid Dynamics, 89, 235-283, 1998


    1. (with F. W. Elliot, Jr. and D.J. Horntrop), "Monte Carlo Methods for turbulent traces with long range and fractal random velocity field", Chaos, 7(1), 39-48, 1997. (PDF)
    2. (with D. McLaughlin and E. Tabak), "A one-dimensional model for dispersive wave turbulence", J. Nonlinear Sci., 6, 9-44, 1997. (PDF)
    3. (with F.W. Elliot, Jr. and D.J. Horntrop), "A Fourier-Wavelet Monte Carlo Method for fractal random fields", J. Comp. Physics, 132, 384-408, 1997. (PDF)
    4. (with P. Constantin and C. Foais, and I. Kukavica), "Dirichlet quotients for 2-D periodic Navier-Stokes equations", Math. Pures and Appl., 76, 125-153, 1997. (PDF)
    5. (with M. Grote), "Model Dynamics and Vertical Collapse in decaying strongly stratified flows", Phys. Fluids, 9(10), 2932-2940, 1997. (PDF)
    6. (with M. Grote), "Crude closure dynamics through large scale statistical theories", Phys. Fluids, 9(11), 3431-3442, 1997. (PDF)
    7. (with M. Holen), "Dissipation, topography, and statistical theories for large scale coherent structure", Comm. Pure Applied Math., 50(12), 1183-1234, 1997.
    8. (with D. Horntrop), "An overview of Monte Carlo simulation techniques for the generation of random fields", in Monte Carlo Simulations in Oceanography, Proceedings of the Ninth "Aha Huliko’s" Hawaiian Winter Workshop. P. Muller and D. Henderson, editors, 67-69, 1997


    1. (with R. McLaughlin), "An explicit example with non-Gaussian probability distribution for nontrivial scalar mean and fluctuation", Phys. Fluids, 8(2), 536-547, 1996. (PDF)
    2. (with F. Elliot), "Pair dispersion over an inertial range spanning many decades", Phys. Fluids, 8(4), 1052-1060, 1996. (PDF)
    3. (with P. Embid), "Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity", Comm. P.D.E., 31(3&4), 619-658, 1996.
    4. (with P. Constantin and C. Fefferman), "Geometric constraints on potentially singular solutions for the 3-D Euler equations", Comm. P.D.E., 21(3&4), 559-571, 1996
    5. (with T. Souganidis), "Bounds on enhanced turbulent flame speeds for combustion with fractal velocity fields", J. Stat. Phys., 83(5&6), 933-954, 1996.
    6. (with E. Tabak), "A two-dimensional model for quasigeostropic flow. Comparison with two-dimensional Euler", Physica D, 1413, 512-522, 1996. (PDF)
    7. (with P. Embid),"Examples and counterexamples for Huygens Principle in premixed combustion", Comm. Sci. and Tech., 120(1-6), 273, 1996.