Yang Cao

collaborators

3 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.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…