On the nonexistence of fat partially hyperbolic horseshoes

Absolutely Continuous Invariant Measure for Generalized Horseshoe Maps

In this paper, we study the SRB measures of generalized horseshoe map. We prove that under the conditions of transversality and fatness, the SRB measure is actually absolutely continuous with respect to the Lebesgue measure.

不连续映射的热力学形式与平衡态的统计性质

Thermodynamic formalism for discontinuous maps and statistical properties of their equilibrium states

本文提出了一种泛函分析框架，用于研究不连续映射的平衡态存在性、唯一性和统计性质，并通过多个例子展示了其应用范围。

广义偏合同态映射的极限定理与统计稳定性研究

Limit Theorems and Quantitative Statistical Stability for the Equilibrium States of Piecewise Partially Hyperbolic Maps

本文研究了非连续非局部可逆分段偏合同态映射的极限定理和统计稳定性，通过灵活的功能分析框架获得收敛速率，并证明了Hölder观测量的指数相关衰减和中心极限定理。