Hao Xing

collaborators

2 papers

math.DS2024

Equidistribution of polynomially bounded o-minimal curves in homogeneous spaces

Michael Bersudsky, Nimish A. Shah, Hao Xing

We extend Ratner's theorem on equidistribution of individual orbits of unipotent flows on finite volume homogeneous spaces of Lie groups to trajectories of non-contracting curves d…

math.DS2023

Equidistribution of lattice orbits in the space of homothety classes of rank $2$ sublattices in $R^{3}$

Michael Bersudsky, Hao Xing

We study the distribution of orbits of a lattice $Γ \leq SL (3, R)$ in the moduli space $X_{2, 3}$ of covolume one rank-two discrete subgroups in $R^{3}$ . Each orbi…

Equidistribution of polynomially bounded o-minimal curves in homogeneous spaces

Equidistribution of lattice orbits in the space of homothety classes of rank 2 sublattices in R3

Equidistribution of lattice orbits in the space of homothety classes of rank $2$ sublattices in $R^{3}$