Equidistribution of hyperbolic groups in homogeneous spaces

Ilya Gekhtman; Samuel J. Taylor; Giulio Tiozzo

doi:https://doi.org/10.1007/s00208-024-02845-5

Equidistribution of hyperbolic groups in homogeneous spaces

Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that infinite orbits of Zariski dense hyperbolic groups equidistribute in homogeneous spaces, in the sense that the family of measures obtained by averaging along spheres in the Cayley graph converges to Haar measure.

Original language	English
Pages (from-to)	4619-4638
Number of pages	20
Journal	Mathematische Annalen
Volume	390
Issue number	3
DOIs	https://doi.org/10.1007/s00208-024-02845-5
State	Published - Nov 2024

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Equidistribution of hyperbolic groups in homogeneous spaces",

abstract = "We prove that infinite orbits of Zariski dense hyperbolic groups equidistribute in homogeneous spaces, in the sense that the family of measures obtained by averaging along spheres in the Cayley graph converges to Haar measure.",

author = "Ilya Gekhtman and Taylor, {Samuel J.} and Giulio Tiozzo",

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T1 - Equidistribution of hyperbolic groups in homogeneous spaces

AU - Gekhtman, Ilya

AU - Taylor, Samuel J.

AU - Tiozzo, Giulio

PY - 2024/11

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N2 - We prove that infinite orbits of Zariski dense hyperbolic groups equidistribute in homogeneous spaces, in the sense that the family of measures obtained by averaging along spheres in the Cayley graph converges to Haar measure.

AB - We prove that infinite orbits of Zariski dense hyperbolic groups equidistribute in homogeneous spaces, in the sense that the family of measures obtained by averaging along spheres in the Cayley graph converges to Haar measure.

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DO - https://doi.org/10.1007/s00208-024-02845-5

M3 - مقالة

SN - 0025-5831

VL - 390

SP - 4619

EP - 4638

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3

ER -

Equidistribution of hyperbolic groups in homogeneous spaces

Abstract

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