Probability and Dynamics: A survey and open problems

School of Mathematics Colloquium
Thursday, September 19, 2013 - 11:00
1 hour (actually 50 minutes)
Skyles 006
Penn State University
Probabilistic methods in dynamical systems is a popular area of research. The talk will present the origin of the interplay between both subjects with Poincar\'e's unpredictability and Kolmogorov's axiomatic treatment of probability, followed by two main breakthroughs in the 60es by Ornstein and Gordin. Present studies are concerned with two main problems: transferring probabilistic laws and laws for 'smooth' functions. Recent results for both type of questions are explained at the end.