Student Probability Seminar

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The Random Cluster Model and Applications

Speaker: Reza Gheissari

Location: Warren Weaver Hall 1314

Date: Thursday, October 1, 2015, 2 p.m.

Synopsis:

We motivate and introduce the random cluster model, a class of models that unify percolation, Ising, Potts and other statistical mechanics models. We define random cluster percolation with parameters p and q and define its coupling with Ising and Potts models. We then discuss its many phase transitions and critical properties and how its monotonicity properties can help solve problems in other models that don't exhibit monotonicity. Finally we discuss some open problems.