3 papers
math.DS2025
Computable thermodynamic formalism
Ilia Binder, Qiandu He, Zhiqiang Li +1
We investigate the theory of thermodynamic formalism from the perspective of computable analysis, with a special focus on the computability of equilibrium states. Specifically, we…
math.DS2025
Counting prime orbits in shrinking intervals for expanding Thurston maps
Zhiqiang Li, Xianghui Shi
We establish a local central limit theorem for primitive periodic orbits of expanding Thurston maps, providing a fine-scale refinement of the Prime Orbit Theorem in the context of…
math.DS2024
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.…