Student Probability Seminar

Lyapunov Exponents and the Multiplicative Ergodic Theorem

Speaker: Alex Blumenthal

Location: Warren Weaver Hall 202

Date: Friday, October 24, 2014, 2 p.m.


The Multiplicative Ergodic Theorem (MET) can be thought of as a noncommutative version of the strong law of large numbers for products of matrices drawn from some distribution. The MET is a critical ingredient in modern studies of smooth ergodic theory. I will describe the information the MET provides, analyze some simple examples, give motivation for its applications in dynamical systems, and present the main step in the proof of the MET.