Speaker：Jianyu Chen（Suzhou University）

Time：2022-04-14, 15:00

Location：Tencent Meeting ID 680377592（No Passward）

Abstract:

We consider a piecewise continuous map of a compact metric space which admits an inducing scheme. Under the finite weighted complexity condition, we establish a thermodynamic formalism for a parameter family of potentials $\varphi+t\psi$ in an interval containing $t=0$.  Furthermore, if there is a generating partition compatible to the inducing scheme, we show that all ergodic invariant measures with sufficiently large pressure are liftable. Our results are applicable to a class of chaotic billiards. This is a joint work with Fang Wang and Hong-Kun Zhang.