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Gekhtman convex cocompact

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

Counting conjugacy classes in groups with contracting elements

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Central limit theorems for counting measures in coarse …

WebMay 6, 2016 · Let G⤻X be a non‐elementary action by isometries of a hyperbolic group G on a (not necessarily proper) hyperbolic metric space X . We show that the set of elements of G which act as loxodromic isometries of X has density one in the word metric on G . That is, for any finite generating set of G , the proportion of elements in G of word length at most n , … 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 … WebCONVEX COCOMPACT SUBGROUPS 3 requires that generic (with respect to the analogue of the Bowen-Margulis measure) geodesic segments have a certain property … pickle with sunglasses

[PDF] Statistically convex-cocompact actions of groups with …

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Gekhtman convex cocompact

Ilya Gekhtman - The Mathematics Genealogy Project

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. WebOct 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 …

Gekhtman convex cocompact

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WebDYNAMICS OF CONVEX COCOMPACT SUBGROUPS OF MAPPING CLASS GROUPS ILYA GEKHTMAN Abstract. For a convex cocompact subgroup G < Mod(S), and points … WebThe construction is due to Kaimanovich [27] for convex-cocompact manifolds and to Gekhtman-Gerasimov-Potyagailo-Yang [20] for geometrically finite ones. More-over, …

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 … 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.

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. 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

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 …

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 … pickle with legsWebI. Gekhtman, “Dynamics of convex-cocompact subgroups of mapping class groups,” arxiv:1204.1741 Expository notes not for publication I. Gekhtman and A. Wright, … pickle with cheeseWebFeb 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 … pickle with peppermint stickWebApr 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. … pickle with faceWebTheorem (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 ... picklewood courtWebIlya 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. top 5 best browser gamesWebApr 8, 2012 · Authors: Ilya Gekhtman Download PDF Abstract: For a convex cocompact subgroup $G pickle with sunglasses clip art