Tianyuan Mathematical Center
in Southwest China

2018 Thematic Program (II)

Periodic Random Dynamical Systems

[TMCSC]

June 26-28, 2018

W303  School of Mathematics, Sichuan University

SPEAKER

Huaizhong Zhao (Loughborough University)

ABSTRCT

In this mini-course, I will introduce random periodic paths, periodic measures and their equivalence. I will present the ergodic theory in random periodic regime, the idea to Poincare sections (PS) and prove that PS-ergocity implies ergodicity. A necessary and sufficient conditions for PS-ergodicity is given in terns of the spectral structure of the Markov semigroup and their infinitesimal generator. A different necessary and sufficient condition is given in terms of the recurrence on the Poincare sections.

ORGANIZERS

Kening Lu (Sichuan University)

Weinian Zhang (Sichuan University)

Wen Huang (Sichuan University)

Zeng Lian (Sichuan University)

Xiaohu Wang (Sichuan University)

Linfeng Zhou (Sichuan University)

Jun Shen (Sichuan University)

SUPPORTED BY

Tianyuan Mathematical Center in Southwest China

School of Mathematics, Sichuan University