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math.GR2019★ 1 cited
Stability phenomena for Martin boundaries of relatively hyperbolic groups
Matthieu Dussaule, Ilya Gekhtman
Let be a relatively hyperbolic group and let be an admissible symmetric finitely supported probability measure on . We extend Floyd-Ancona type inequalities up to the sp…
math.DS2019
Entropy and drift for Gibbs measures on geometrically finite manifolds
Ilya Gekhtman, Giulio Tiozzo
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) me…