2 papers
math.DS2025
Construction of equilibrium states revisited
Changguang Dong, Qiujie Qiao
In [52], Parmenter and Pollicott establish an abstract criterion that gives a geometric construction of equilibrium states for a class of partially hyperbolic systems. We refine th…
math.DS2024
On -Neutralized Entropy: Entropy Formula and Existence of Measures Attaining the Supremum
Changguang Dong, Qiujie Qiao
In this article we study -neutralized local entropy and derive some entropy formulas. For an ergodic hyperbolic measure of a smooth system, we show that the -neutralized loca…