Zuo Lin

collaborators

Showing math.DSShow all

4 papers · 1 filter

math.DS2026

Polynomially effective equidistribution for certain unipotent subgroups in quotients of perfect Lie groups

Zuo Lin

We prove an effective equidistribution theorem for orbits of certain unipotent subgroups in arithmetic quotients of perfect Lie groups with a polynomial error term. Even for semisi…

math.DS2025

Quadratic forms of signature $(2, 2)$ or $(3, 1)$ I: effective equidistribution in quotients of $SL_{4} (R)$

Zuo Lin

We prove an effective equidistribution theorem for orbits of horospherical subgroups of $SO (2, 2)$ and $SO (3, 1)$ in quotients of $SL_{4} (R)$ with…

math.DS2024

Finitary estimates for the distribution of lattice orbits in homogeneous spaces I: Riemannian metric

Zuo Lin, Pratyush Sarkar

Let $H < G$ both be noncompact connected semisimple real algebraic groups where the former is maximal proper and $I^ < G$ be a lattice. Building on the work of Gorodnik-Weiss, we re…

math.DS2024

Polynomial effective density in quotient of $SL_{2} (Q_{p}) \times SL_{2} (Q_{p})$

Zuo Lin

We prove an effective density theorem with polynomial error rate for orbits of upper triangular subgroup of $SL_{2} (Q_{p})$ in $\mathrm{SL}_2(\mathbb{Q}_p) \times \ma…

Polynomially effective equidistribution for certain unipotent subgroups in quotients of perfect Lie groups

Quadratic forms of signature (2,2) or (3,1) I: effective equidistribution in quotients of SL4​(R)

Finitary estimates for the distribution of lattice orbits in homogeneous spaces I: Riemannian metric

Polynomial effective density in quotient of SL2​(Qp​)×SL2​(Qp​)

Quadratic forms of signature $(2, 2)$ or $(3, 1)$ I: effective equidistribution in quotients of $SL_{4} (R)$

Polynomial effective density in quotient of $SL_{2} (Q_{p}) \times SL_{2} (Q_{p})$