Runlin Zhang

activity

20242026

collaborators

4 papers

math.NT2026

Effective count of integer points on ternary affine quadrics and effective equidistribution

Runlin Zhang

We study the effective equidistribution of certain infinite homogeneous measures and related counting problems through mixing. In this way, we obtain smooth versions of counting th…

math.DS2026

Nondivergence of Reductive group action on Homogeneous Spaces

Han Zhang, Runlin Zhang

Let $X = G / I^$ be the quotient of a semisimple Lie group $G$ by its non-cocompact arithmetic lattice. Let $H$ be a reductive algebraic subgroup of $G$ acting on $X$ . We give several…

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

Asymptotics of integral points, equivariant compactifications and equidistributions for homogeneous spaces

Runlin Zhang

Let U be a homogeneous variety over Q of a linear algebraic group. Choose an integral model and assume the existence of infinitely many integral points. Then one would like to give…