Gekhtman convex cocompact
WebApr 8, 2012 · Authors: Ilya Gekhtman Download PDF Abstract: For a convex cocompact subgroup $G WebThis paper presents a study of the asymptotic geometry of groups with contracting elements, with emphasis on a subclass of statistically convex-cocompact (SCC) actions. The class of SCC actions includes relatively hyperbolic groups, CAT(0) groups with rank-1 elements and mapping class groups, among others. We exploit an extension lemma to prove that a …
Gekhtman convex cocompact
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WebFeb 3, 2024 · This shows that if the manifold (or more generally, a CAT(-1) quotient) is geometrically finite but not convex cocompact, stationary measures are always singular … WebApr 27, 2024 · Convex cocompact actions in real projective geometry. We study a notion of convex cocompactness for discrete subgroups of the projective general linear …
WebMay 20, 2024 · In this paper, we establish statistical results for a convex co-compact action of a free group on a CAT ( − 1) space where we restrict to a non-trivial conjugacy class in the group. In particular, we… Expand 1 Highly Influential PDF View 3 excerpts, references background and results Statistics in conjugacy classes in free groups WebIlya Gekhtman We construct a one-to-one continuous map from the Morse boundary of a hierarchically hyperbolic group to its Martin boundary. This construction is based on deviation inequalities...
WebFeb 17, 2024 · This shows that if the manifold (or more generally, a CAT(-1) quotient) is geometrically finite but not convex cocompact, stationary measures are always singular with respect to Gibbs measures. A major technical tool is a generalization of a deviation inequality due to Ancona saying that the so called Green distance associated to the … WebMar 10, 2024 · We prove uniform Ancona—Gouëzel—Lalley inequalities for an extension by a hyperbolic group G of a Markov map which allows to deduce that the visual boundary of the group and the Martin boundary are Hölder equivalent. As application, we identify the set of minimal δ-conformal measures of a regular cover of a convex-cocompact CAT(-1) …
WebILYA GEKHTMAN, SAMUEL J. TAYLOR, AND GIULIO TIOZZO Abstract. We establish central limit theorems for an action of a group G on a hyperbolic space X with respect to …
WebApr 8, 2012 · Gekhtman proves the growth rate of the orbit of a convex cocompact subgroup in Teichmüller space is strictly smaller than the growth rate of the orbit of the … milford shoe repairWebCONVEX COCOMPACT SUBGROUPS 3 requires that generic (with respect to the analogue of the Bowen-Margulis measure) geodesic segments have a certain property … new york holiday windowsWebDec 4, 2024 · Cogrowth for group actions with strongly contracting elements Part of: Special aspects of infinite or finite groups Smooth dynamical systems: general theory Published online by Cambridge University Press: 04 December 2024 GOULNARA N. ARZHANTSEVA and CHRISTOPHER H. CASHEN Article Metrics Rights & Permissions … milford shopping centreWebGekhtman is partially supported by NSERC. Taylor is partially supported by NSF grants DMS-1744551, DMS-2102024 and the Sloan Foundation. Tiozzo is partially supported by NSERC, an Ontario Early Researcher Award ... We remark that when Mis either convex cocompact or a surface, the above theorem works for any generating set S. In the … milford shopping mallWebMay 14, 2024 · I. Gekhtman, S. Taylor and G. Tiozzo, Counting loxodromics for hyperbolic actions, Journal of Topology 11 (2024), ... W. Yang, Statistically convex-cocompact actions of groups with contracting elements, International Mathematics Research Notices (2024), 7259–7323. Google Scholar new york hollow point bulletsWebDYNAMICS OF CONVEX COCOMPACT SUBGROUPS OF MAPPING CLASS GROUPS ILYA GEKHTMAN Abstract. For a convex cocompact subgroup G < Mod(S), and points … new york holidays pay monthlyWebFor random walks with finite superexponential moment, we show that the equality is achieved if and only if the Gibbs density is equivalent to the hitting measure. As a corollary, if the action is not convex cocompact, any hitting measure is singular to any Gibbs density. References Similar Articles Additional Information milford shooting