2 papers
math.DS2025
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…
math.DS2025
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…