Gekhtman convex cocompact

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WebIlya Gekhtman, Samuel J. Taylor and Giulio Tiozzo Abstract We establish central limit theorems for an action of a group Gon a hyperbolic space Xwith respect to the counting … WebI. Gekhtman, “Dynamics of convex-cocompact subgroups of mapping class groups,” arxiv:1204.1741 Expository notes not for publication I. Gekhtman and A. Wright, …

Ilya Gekhtman - The Mathematics Genealogy Project

WebMay 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 WebGekhtman 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 … breda vrijeme

Ilya Gekhtman - The Mathematics Genealogy Project

WebIlya Gekhtman. Ph.D. The University of Chicago 2014. Dissertation: Dynamics of Convex-Cocompact subgroups of mapping class groups. Advisor 1: Alex Eskin. No students … WebFor a class of groups which generalises convex cocompact groups in the rank one setting, these densities allow to give a sharp estimate on the Hausdorff dimension of the radial limit set in each subset $$ G \cdot \xi \subseteq \theta X $$ . ... Ilya Gekhtman & Arie Levit. On the rate of convergence to zero of the measure of extremal sets in ... WebTheorem (Gekhtman - Y.; 2024) Suppose a non-elementary group G admits a properly discontinuous cocompact action on a geodesic metric space (X;d) with a contracting element. Then for a basepoint o ∈X, we have C(o;n)˚ exp( Gn) n: Remark Our theorem holds for a more general class of statistically convex-cocompact actions which is purely ... breda uhr

Entropy and drift for Gibbs measures on geometrically finite …

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) … WebOct 29, 2024 · Generalization of Selberg's $3/16$ theorem for convex cocompact thin subgroups of $\operatorname{SO}(n, 1)$ Pratyush Sarkar; Mathematics. 2024; Let $\Gamma$ be a convex cocompact thin subgroup of an arithmetic lattice in $\operatorname{SO}(n, 1)$. ... Ilya Gekhtman, Samuel J. Taylor, G. Tiozzo; takex pb-20teWebDYNAMICS OF CONVEX COCOMPACT SUBGROUPS OF MAPPING CLASS GROUPS ILYA GEKHTMAN Abstract. For a convex cocompact subgroup G < Mod(S), and points … take wv permit test online

"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

Gekhtman convex cocompact

Local limit theorems in relatively hyperbolic groups I: rough …

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 … WebApr 8, 2012 · Authors: Ilya Gekhtman Download PDF Abstract: For a convex cocompact subgroup $G

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WebMar 23, 2024 · Statistically convex-cocompact actions of groups with contracting elements. Int. Math. ... Dussaule, Matthieu and Gekhtman, Ilya 2024. Stability phenomena for Martin boundaries of relatively hyperbolic groups. Probability Theory and Related Fields, Vol. 179, Issue. 1-2, p. 201. WebApr 8, 2012 · Authors: Ilya Gekhtman Download PDF Abstract: For a convex cocompact subgroup $G

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 WebFeb 1, 2024 · Random walks on convergence groups have been previously studied by Gekhtman, Gerasimov, Potyagailo, and Yang in ... if the action is not convex cocompact, any hitting measure is singular to any ...

WebIlya Gekhtman Wenyuan Yang In this paper, we derive an asymptotic formula for the number of conjugacy classes of elements in a class of statistically convex-cocompact … WebDec 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 …

WebFor 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

WebIlya Gekhtman Ph.D. The University of Chicago 2014 Dissertation: Dynamics of Convex-Cocompact subgroups of mapping class groups Advisor 1: Alex Eskin No students known. If you have additional information or corrections regarding this mathematician, please use the update form. breda ukWebIlya Gekhtman Wenyuan Yang In this paper, we derive an asymptotic formula for the number of conjugacy classes of elements in a class of statistically convex-cocompact actions with contracting ... breda ukraineWebApr 2, 2024 · For 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. … take vs head sparkWebPurchase Instant Access 48-Hour online access $12.00 Details Online-only access $20.00 Details PDF download and online access $49.00 Details Check out Abstract In this paper, we derive an asymptotic formula for the number of conjugacy classes of elements in a class of statistically convex-cocompact actions with contracting elements. breda zappata bz 308WebApr 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 … breda uitjesWebI Gekhtman, V Gerasimov, L Potyagailo, W Yang. Inventiones mathematicae 223, 759-809, 2024. 25: 2024: Counting loxodromics for hyperbolic actions. I Gekhtman, SJ Taylor, G … breda uitstapjesWebFeb 14, 2015 · Ilya Gekhtman, Samuel J. Taylor & Giulio Tiozzo. On hyperbolicity and virtual freeness of automorphism groups. 16 October 2024. ... In particular, $\Gamma _0=Z_\Gamma (\gamma _0)$ is a quasi-convex-cocompact subgroup with infinite index in the nonelementary word hyperbolic group $\Gamma $. It is well-known that the … bredazije