3 papers
math.DS2023
Thermodynamic formalism for subsystems of expanding Thurston maps and large deviations asymptotics
Zhiqiang Li, Xianghui Shi, Yiwei Zhang
Expanding Thurston maps were introduced by M. Bonk and D. Meyer with motivation from complex dynamics and Cannon's conjecture from geometric group theory via Sullivan's dictionary.…
math.DS2023
Thermodynamic formalism for correspondences
Xiaoran Li, Zhiqiang Li, Yiwei Zhang
In this article, we investigate the Variational Principle and develop thermodynamic formalism for correspondences. We define the measure-theoretic entropy for transition probabilit…
math.DS2023
On computability of equilibrium states
Ilia Binder, Qiandu He, Zhiqiang Li +1
Equilibrium states are natural dynamical analogues of Gibbs states in thermodynamic formalism. This paper investigates their computability within the framework of Computable Analys…