For more information about this meeting, contact Becky Halpenny.
| Title: | "Poisson limit theorem for Gibbs-Markov systems" |
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| Seminar: | Ph.D. Oral Comprehensive Examination |
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| Speaker: | Xuan Zhang, Adviser: Manfred Denker, Penn State |
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| Abstract: |
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| 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 |
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| Date: | 05 / 06 / 2013 |
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| Time: | 10:00am - 12:00pm |
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