Changguang Dong

collaborators

3 papers

math.DS2024

On $r$ -Neutralized Entropy: Entropy Formula and Existence of Measures Attaining the Supremum

Changguang Dong, Qiujie Qiao

In this article we study $r$ -neutralized local entropy and derive some entropy formulas. For an ergodic hyperbolic measure of a smooth system, we show that the $r$ -neutralized loca…

math.DS2024

Global rigidity of smooth $Z ⋉_{λ} R$ -actions on $T^{2}$

Changguang Dong, Yi Shi

For $λ > 1$ , we consider the locally free $Z ⋉_{λ} R$ actions on $T^{2}$ . We show that, if the action is $C^{r}$ with $r \geq 2$ , then it is $C^{r - ε}$ -conju…

math.DS2023

Limit theorems for low dimensional generalized $(T, T^{- 1})$ transformations

Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski +1

We consider generalized $(T, T^{- 1})$ transformations such that the base map satisfies a multiple mixing local limit theorem and anticoncentration large deviation bounds and in the…

On r-Neutralized Entropy: Entropy Formula and Existence of Measures Attaining the Supremum

Global rigidity of smooth Z⋉λ​R-actions on T2

Limit theorems for low dimensional generalized (T,T−1) transformations

On $r$ -Neutralized Entropy: Entropy Formula and Existence of Measures Attaining the Supremum

Global rigidity of smooth $Z ⋉_{λ} R$ -actions on $T^{2}$

Limit theorems for low dimensional generalized $(T, T^{- 1})$ transformations