Excursions to the cusps for geometrically finite hyperbolic orbifolds and equidistribution of closed geodesics in regular covers
نویسندگان
چکیده
Abstract We give a finitary criterion for the convergence of measures on non-elementary geometrically finite hyperbolic orbifolds to unique measure maximal entropy. an entropy controlling escape mass cusps orbifold. Using this criterion, we prove new results distribution collections closed geodesics such orbifold, and as corollary, equidistribution up certain length in amenable regular covers orbifolds.
منابع مشابه
Equidistribution and counting for orbits of geometrically finite hyperbolic groups
1.1. Motivation and overview. Let G denote the identity component of the special orthogonal group SO(n, 1), n ≥ 2, and V a finite-dimensional real vector space on which G acts linearly from the right. A discrete subgroup of a locally compact group with finite covolume is called a lattice. For v ∈ V and a subgroup H of G, let Hv = {h ∈ H : vh = v} denote the stabilizer of v in H. A subgroup H of...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2021
ISSN: ['0143-3857', '1469-4417']
DOI: https://doi.org/10.1017/etds.2021.101