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.
Equidistribution of hyperbolic groups in homogeneous spaces / Gekhtman, I.; Taylor, S. J.; Tiozzo, G.. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 390:3(2024), pp. 4619-4638. [10.1007/s00208-024-02845-5]
Equidistribution of hyperbolic groups in homogeneous spaces
Tiozzo G.
2024
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.File allegati a questo prodotto
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