Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Monday, November 19, 2012 - 08:00 to 09:00
Location: 
Kidder 350

Speaker Info

Institution: 
Pennsylvania State University
Abstract: 

Poincare coined the term that even completely deterministic dynamical systems show often unpredictable behavior. This phenomenon will be explained (and made precise) using probability theory once a stationary finite measure for the dynamics has been fixed.

The talk will discuss some highlights of probabilistic dynamics over the past twenty years, like the validity of central limit theorems, local limit theorems and large deviation. Conversely, probabilistic results for dynamical systems also have some impact to their original dynamics, like for Poincare exponents of Fuchsian groups, for expressions of the  Hausdorff dimension, and ergodicity properties of skew product transformations.