October 16, 2020
12:40PM - 1:40PM
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2020-10-16 12:40:00
2020-10-16 13:40:00
Ergodic Theory Seminar - Tianyu Wang
Title: Central Limit Theorem for equilibrium measures in dynamical systems
Speaker: Tianyu Wang - Ohio State University
Abstract: Central limit theorem of certain class of equilibrium measures is a heavily studied statistical property in smooth dynamics. In the first half of the talk, I will briefly introduce some common strategies to study CLT that are useful in many classic settings, e.g. Anosov flows, expanding maps on the unit circle, (countable) Markov shift, etc. In the second half, I will show how specification can be applied to derive an asymptotic version of CLT for the equilibrium measures in the case of geodesic flow on non-positively curved rank-one manifold. This method is first introduced by Denker, Senti, Zhang and the result is based on a recent joint work with Dan Thompson.
Zoom (email the organizers for a link)
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2020-10-16 12:40:00
2020-10-16 13:40:00
Ergodic Theory Seminar - Tianyu Wang
Title: Central Limit Theorem for equilibrium measures in dynamical systems
Speaker: Tianyu Wang - Ohio State University
Abstract: Central limit theorem of certain class of equilibrium measures is a heavily studied statistical property in smooth dynamics. In the first half of the talk, I will briefly introduce some common strategies to study CLT that are useful in many classic settings, e.g. Anosov flows, expanding maps on the unit circle, (countable) Markov shift, etc. In the second half, I will show how specification can be applied to derive an asymptotic version of CLT for the equilibrium measures in the case of geodesic flow on non-positively curved rank-one manifold. This method is first introduced by Denker, Senti, Zhang and the result is based on a recent joint work with Dan Thompson.
Zoom (email the organizers for a link)
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Central Limit Theorem for equilibrium measures in dynamical systems
Speaker: Tianyu Wang - Ohio State University
Abstract: Central limit theorem of certain class of equilibrium measures is a heavily studied statistical property in smooth dynamics. In the first half of the talk, I will briefly introduce some common strategies to study CLT that are useful in many classic settings, e.g. Anosov flows, expanding maps on the unit circle, (countable) Markov shift, etc. In the second half, I will show how specification can be applied to derive an asymptotic version of CLT for the equilibrium measures in the case of geodesic flow on non-positively curved rank-one manifold. This method is first introduced by Denker, Senti, Zhang and the result is based on a recent joint work with Dan Thompson.
