4 papers
Shift maps and statistical invariants for some dynamical systems
Sergey Kryzhevich, Yiwei Zhang
Given a dynamical system, we study the so-called space of shift functions thus introducing another vision on bifurcations and chaos. As an application of the obtained results, we g…
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…
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…
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.…