most citedEntropy density and large deviation principles without upper semi-continuity of entropy

1 citations · 1 across the 3 of their papers we have counts for

collaborators

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★ 1 cited

Entropy density and large deviation principles without upper semi-continuity of entropy

Zhiqiang Li, Xianghui Shi

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.…