WebSecond, we show that the absolute continuity between a harmonic measure and a Gibbs measure is equivalent to a relation between entropy, (generalized) drift and critical exponent, generalizing previous formulas of Guivarc’h, Ledrappier, and … WebGroups,driftandharmonicmeasures MarkPollicottandPolinaVytnova 1 Introduction An intriguing problem in modern geometric measure theory is the study of the

arXiv:1708.02133v3 [math.GR] 5 Dec 2024

WebSebastien Blachere. Internal Diffusion Limited Aggregation is a growth model on an infinite set G, associated to a Markov chain on G. It has been introduced by Diaconis and Fulton in 1991 (Rend ... 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 … small bump on scalp that hurts

ENTROPY AND DRIFT FOR GIBBS MEASURES ON …

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 Web(Blachere, Haissinsky, & Mathieu say that the Green metrics are usually not geodesic, but they don't provide more details on this matter). More precisely: More precisely: Are there … 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- small bump on scalp for years