Gekhtman convex cocompact

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August undefined, 2024

WebFirst of all, we consider the class of statistically convex-cocompact actions introduced in [37] which generalizes a convex-cocompact action in a statistical sense. Making this idea precise ... WebMay 2, 2024 · 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 …

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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 … WebILYA GEKHTMAN AND WEN-YUAN YANG Abstract. In this paper, we derive an asymptotic formula for the number of conjugacy classes of elements in a class of statistically … mcgann and chester phone number

Gibbs measures vs. random walks in negative curvature (Cancelled ...

WebAs a corollary, if the action is not convex cocompact, any hitting measure is singular to any Gibbs density. We prove a generalization of the fundamental inequality of Guivarc'h relating entropy, drift and critical exponent to Gibbs measures on geometrically finite quotients of CAT(-1) metric spaces. 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 8, 2012 · Authors: Ilya Gekhtman Download PDF Abstract: For a convex cocompact subgroup $G liba memory foam seat cushion

Counting conjugacy classes in groups with contracting …

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WebFeb 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 … WebApr 8, 2012 · Authors: Ilya Gekhtman Download PDF Abstract: For a convex cocompact subgroup $G mcgann and beyondWebApr 8, 2012 · Authors: Ilya Gekhtman Download PDF Abstract: For a convex cocompact subgroup $G mcgann and chester pittsburgh

"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 " - Gekhtman convex cocompact

Gekhtman convex cocompact

Dynamics of Convex Cocompact Subgroups of Mapping Class …

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 ... 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.

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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 ...

WebPurchase 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. 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 …

WebI 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 … 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 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 ...

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. mcgan cremation servicesWebIlya 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 … mcgann building hancock mi liba mildew resistant shower curtain linerWebOct 6, 2024 · Counting conjugacy classes in groups with contracting elements Ilya Gekhtman, Wen-yuan Yang In this paper, we derive an asymptotic formula for the … libanais chicago lincolnwoodWebIlya Gekhtman. Ph.D. The University of Chicago 2014. Dissertation: Dynamics of Convex-Cocompact subgroups of mapping class groups. Advisor 1: Alex Eskin. No students … liba memory foam seat cushion 5WebApr 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 … mcgann hospitality consultantsWebApr 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. … libal-tech