WebJun 24, 2008 · It follows as in Blacheré-Häissinsky-Mathieu [5]), by hyperbolicity and quasiisometry with the graph metric of a suitable Green metric defined for (X, P, m), that the harmonic measure is a ... WebHaïssinsky-Mathieu in [5]. The authors there also prove that if Γ ñ Xis an action ofa hyperbolicgroupwhich is not convexcocompactthen the hitting and Patterson-Sullivan measuresaresingular. In particularthis is true for finite covolumeFuchsian groups with cusps, a fact also obtained by Guivarc’h-LeJan [24], Deroin-Kleptsyn-
Department of Mathematics
Webrandom walks on ¡ (see Blachère–Haïssinsky–Mathieu [3,4]), Anosov represen-tations of ¡in higher rank simple Lie groups (see Dey–Kapovich [10]), etc. To avoid ambiguity in scaling we can normalize metrics d by the growth hd ˘ lim R!1 1 R log# ' °2¡j d(°,e) ˙R “, replacing d by dˆ˘hd ¢d, so that h ˆ d ˘1. For –2D¡ we can ... WebMar 1, 2024 · For admissible measures, this is proved using previous results of Ancona and Blach{\`e}re-Ha{\"i}ssinsky-Mathieu. For non-admissible measures, this follows from a counting result, interesting in ... arti nama uswatun hasanah
Entropy and Drift for Random Walks on Negatively Curved Manifolds
WebS'ebastien Blachere, Peter Haïssinsky, P. Mathieu Published2024 Mathematics We study asymptotic properties of the Green metric associated to transient random walks on countable groups. We prove that the rate of escape of the random walk computed in the Green metric equals its asymptotic entropy. Web2024 Southern California Super Lawyers® (2014-2024) 2024 Tax MVP, Law 360 2024 Tax MVP, Law360 2016 Tax MVP, Law360 2016 Top Attorneys, Pasadena Magazine (2010, … Web684 S. BLACHÈRE, P. HAÏSSINSKY AND P. MATHIEU Given a probability measure µ on Γ, the random walk (Z n) n starting from the neutral element e associated with µ is defined by Z 0 = e; Z n+1 = Z n ·X n+1, where (X n) is a sequence of independent and identically distributed random variables of law µ. Under some mild assumptions on µ, the walk (Z arti nama uzairon thoifur abdillah