Yang Cao

activity

20212025

collaborators

4 papers

math.NT2025

On almost strong approximation for linear algebraic groups

Yang Cao, Yijin Wang

Let $G$ be a connected linear algebraic group over a number field $K$ . In this article, we study the almost strong approximation property (ASA) of $G$ raised by Rapinchuk and Trall…

math.NT2025

Effective equidistribution, arithmetic purity of strong approximation, and geometric sieve for affine quadrics

Yang Cao, Zhizhong Huang, Runlin Zhang

Let $k$ be a number field. Let $q (x_{1}, \dots, x_{n})$ be a non-degenerate integral quadratic form in $n \geq 3$ variables with coefficients in $k$ and $m \in k^{\times}$ . Let $X$ be the a…

math.DS2024

Topologically mildly mixing of higher orders along generalized polynomials

Yang Cao, Jianjie Zhao

This paper is devoted to studying the multiple recurrent property of topologically mildly mixing systems along generalized polynomials. We show that if a minimal system is topologi…

math.DS2021

Topological mild mixing of all orders along polynomials

Yang Cao, Song Shao

A minimal system $(X, T)$ is topologically mildly mixing if all non-empty open subsets $U, V$ , ${n \in Z : U \cap T^{- n} V \neq = \emptyset}$ is an IP $^{*}$ -set. In this paper we show that…