Translates of homogeneous measures associated with observable subgroups on some homogeneous spaces

DOI10.1112/S0010437X21007624zbMath1489.37006arXiv1909.02666OpenAlexW2971734301MaRDI QIDQ5024491

Runlin Zhang

Publication date: 26 January 2022

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.02666

zbMATH Keywords

equidistributionintegral pointslinear algebraic grouparithmetic latticehomogeneous dynamics

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Homogeneous spaces (22F30) Counting solutions of Diophantine equations (11D45) Discrete subgroups of Lie groups (22E40) Lattice points in specified regions (11P21) Homogeneous flows (37A17)

Cites Work

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• Rational points on homogeneous varieties and equidistribution of adelic periods (with appendix by Mikhail Borovoi)
• Random walks on finite volume homogeneous spaces
• Non-divergence of translates of certain algebraic measures
• Effective equidistribution of shears and applications
• Arithmetic subgroups of algebraic groups
• On Raghunathan's measure conjecture
• Lectures on hyperbolic geometry
• Instability in invariant theory
• Finite dimensional representations and subgroup actions on homogeneous spaces
• Flows on homogeneous spaces and Diophantine approximation on manifolds
• Density of integer points on affine homogeneous varieties
• Mixing, counting, and equidistribution in Lie groups
• Algebraic homogeneous spaces and invariant theory
• Unipotent flows and counting lattice points on homogeneous varieties
• Effective equidistribution of \(S\)-integral points on symmetric varieties
• Limits of translates of divergent geodesics and integral points on one-sheeted hyperboloids
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Limiting distribution of translates of the orbit of a maximal \(\mathbb{Q}\)-torus from identity on \(\mathrm{SL}_N(\mathbb{R})/\mathrm{SL}_N(\mathbb{Z})\)
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Invariant Theory
• On the space of ergodic invariant measures of unipotent flows
• Equidistribution of divergent orbits and continued fraction expansion of rationals
• Geometric results on linear actions of reductive Lie groups for applications to homogeneous dynamics
• Equidistribution of divergent orbits of the diagonal group in the space of lattices
• Introduction to Arithmetic Groups
• Effective equidistribution and property (𝜏)
• Limiting distributions of translates of divergent diagonal orbits
• Manin’s and Peyre’s conjectures on rational points and adelic mixing
• Extensions of Representations of Algebraic Linear Groups
• Symplectic Geometry
• Linear algebraic groups.

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