Runlin Zhang

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20242026

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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.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…