1 citations · 2 across the 5 of their papers we have counts for
6 papers
Infinitesimal dynamical spectral rigidity of the Bunimovich stadium
Xianghui Shi
We prove the infinitesimal dynamical spectral rigidity of the circular Bunimovich stadium with sufficiently long flat edges, in the class of domains obtained by replacing its two c…
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…
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…
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.…
Thermodynamic formalism for subsystems of expanding Thurston maps II
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.…
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.…