PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"Poisson limit theorem for Gibbs-Markov systems"
Seminar:Ph.D. Oral Comprehensive Examination
Speaker:Xuan Zhang, Adviser: Manfred Denker, Penn State
Abstract:
Sinai studied Poisson limit distribution behaviour for eigenvalues in the quantum kicked-rotator model. Inspired by Sinai's work, Pitskel in- vestigated the Poisson limit distribution for return times of dynamical systems. He proved results for Markov chains with nite states and for hyperbolic toral automorphisms. Independently Hirata proved his result for subshifts of nite types with Gibbs measures and for Axiom A sys- tems. Many results have been proved for di enrent kinds of systems in recent years. In this talk, we will try to explain that Poisson limit dis- tribution 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:05 / 06 / 2013
Time:10:00am - 12:00pm