Hang Zhang

activity

20202023

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3 papers · 1 filter

math.DS2022

Nondivergence of Reductive group action on Homogeneous Spaces

Han Zhang, Runlin Zhang

Let $X = G /Γ$ 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 e…

math.DS2021

Nondivergence on homogeneous spaces and rigid totally geodesics

Han Zhang, Runlin Zhang

Let $G /Γ$ be the quotient of a semisimple Lie group by an arithmetic lattice. We show that for reductive subgroups $H$ of $G$ that is large enough, the orbits of $H$ on $G /Γ$ inter…

math.DS2020

Locally unipotent invariant measures and limit distribution of a sequence of polynomial trajectories on homogeneous spaces

Han Zhang

Let $G$ be a Lie group and $Γ$ be a lattice in $G$ . We introduce the notion of locally unipotent invariant measures on $G /Γ$ . We then prove that under some conditions, the limit me…