3 citations · 3 across the 4 of their papers we have counts for
6 papers
Nondivergence on homogeneous spaces and rigid totally geodesics
Han Zhang, Runlin Zhang
Let be the quotient of a semisimple Lie group by an arithmetic lattice. We show that for reductive subgroups of that is large enough, the orbits of on inter…
Counting integral points on indefinite ternary quadratic equations over number fields
Fei Xu, Runlin Zhang
We study an asymptotic formula for counting integral points over an equation defined by a non-degenerated indefinite integral ternary quadratic form representing a non-zero int…
Equidistribution of translates of a homogeneous measure on the Borel--Serre boundary
Runlin Zhang
Let G be a semisimple linear algebraic group defined over rational numbers, K be a maximal compact subgroup of its real points and Γ be an arithmetic lattice. One can associate a p…
Counting integral points on some homogeneous varieties with large reductive stabilizers
Runlin Zhang
Let G be a semisimple group over rational numbers and H is a subgroup over rational numbers. Given a representation of G and an integral vector x whose stabilizer is equal to H. In…
Translates of homogeneous measures associated with observable subgroups on some homogeneous spaces
Runlin Zhang
In the present article we study the following problem. Let G be a linear algebraic group over Q, be an arithmetic lattice and H be an observable Q-subgroup. There is a H-invari…
Limiting distribution of translates of the orbit of a maximal -torus from identity on
Runlin Zhang
Given a maximal -torus in , its orbit from identity coset in naturally carries a possibly infinite Haar measure. W…