2018 Thematic Program (II)

Periodic Random Dynamical Systems


June 26-28, 2018

W303  School of Mathematics, Sichuan University

[Minicourse VI]Huaizhong Zhao0626-0628-01.png


Huaizhong Zhao (Loughborough University)


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.


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)


Tianyuan Mathematical Center in Southwest China

School of Mathematics, Sichuan University