Cheng Zheng

activity

20242026

collaborators

3 papers

math.DS2026

A Criterion for Equidistribution along the $I^c ◯$ Function over Polynomial Sequences with Applications

Zhi Qi, Cheng Zheng

Let $P (Y_{1}, ..., Y_{d})$ be a certain fixed homogeneous polynomial of integral coefficients. In this paper, we establish a quantitative equidistribution criterion for the ergodic av…

math.DS2025

A shrinking target problem in homogeneous spaces of semisimple algebraic groups

Cheng Zheng

In this paper, we study a shrinking target problem with target at infinity in a homogeneous space of a semisimple algebraic group from the representation-theoretic point of view. L…

math.DS2024

Topological rigidity of closures of certain sparse unipotent orbits in finite-volume quotients of $\prod_{i = 1}^{k} SL_{2} (R)$

Cheng Zheng

We give a simple proof about the topological rigidity of closures of certain sparse unipotent orbits in $G / I^$ where $G = \prod_{i = 1}^{k} SL_{2} (R)$ and $I^$ is an…

A Criterion for Equidistribution along the I^c◯ Function over Polynomial Sequences with Applications

A shrinking target problem in homogeneous spaces of semisimple algebraic groups

Topological rigidity of closures of certain sparse unipotent orbits in finite-volume quotients of ∏i=1k​SL2​(R)

A Criterion for Equidistribution along the $I^c ◯$ Function over Polynomial Sequences with Applications

Topological rigidity of closures of certain sparse unipotent orbits in finite-volume quotients of $\prod_{i = 1}^{k} SL_{2} (R)$