Theoretical Statistics and Mathematics Unit, ISI Delhi

March 7, 2012 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Gerhard Keller,
University of Erlangen-Nürnberg

Title:
Stochastic properties of Dynamical Systems: A Spectral Theoretic Approach

Abstract of Talk

The time evolution of many Markov chains and of many
hyperbolic dynamical
systems can fruitfully be described in terms of associated transfer operators
acting on spaces of (generalized) functions. I will outline the formal
similarities and the
differences in interpretation between these two settings. Then I will
explain briefly
a spectral theorem and a perturbation theorem that have turned out to
be extremely useful
for proving probabilistic limit theorems in both settings.