10 citations · 11 across the 8 of their papers we have counts for
8 papers
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…
Normal distribution of Lyapunov exponents of periodic orbits for expanding circle maps
Kostiantyn Drach, Zhi Fu, Vadim Kaloshin +2
For a smooth expanding circle map, we show that the empirical distribution of Lyapunov exponents of periodic points of any fixed period is close to normal, with an error that decre…
Conformal measures of (anti)holomorphic correspondences
Nils Hemmingsson, Xiaoran Li, Zhiqiang Li
In this paper, we study the existence and properties of conformal measures on limit sets of (anti)holomorphic correspondences. We show that if the critical exponent satisfies $1\le…
Tropical thermodynamic formalism
Zhiqiang Li, Yiqing Sun
We investigate the zero-temperature large deviation principle for equilibrium states in the context of distance-expanding maps. The logarithmic-type zero-temperature limit in the l…
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.…