PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Manfred Denker.

Title:Poisson limit theorem for Gibbs-Markov systems
Seminar:Seminar on Probability and its Application
Speaker:Xuan Zhang, PSU
Abstract:
Sinai studied Poisson limit distribution behaviour for eigenvalues in the quantum kicked-rotator model. Inspired by Sinai's work, Pitskel investigated the Poisson limit distribution for return times of dynamical systems. He proved results for Markov chains with finite states and for hyperbolic toral automorphisms. Independently Hirata proved his result for subshifts of finite types with Gibbs measures and for Axiom A systems. Many results have been proved for diffenrent kinds of systems in recent years. In this talk, we will try to explain that Poisson limit distribution also exists for Gibbs-Markov systems. Certain Markov chains with countable states will be special cases. We basically follow Hirata's method with a few revisions.

Room Reservation Information

Room Number:MB106
Date:04 / 26 / 2013
Time:02:20pm - 03:20pm