WebSEBASTIEN BLACH´ ERE, PETER HA` ¨ISSINSKY & PIERRE MATHIEU Abstract. We establish a dimension formula for the harmonic measure of a finitely sup-ported and … WebPierre Mathieu Résumé. Nous proposons une démonstration de la conjecture de Baum-Connes (sans coeffi-cients) pour les groupes hyperboliques en utilisant la distance de Green, une distance ...
Absolute continuity of harmonic measure for a random …
WebThis generalizes a result of Blachere-Haissinsky-Mathieu [5, Proposition 5.5] who proved an analogue where Gis a word hyperbolic group which acts on Xwith parabolics. In particular, since Lebesgue measure is conformal for lattices in rank 1 symmetric spaces the following is an immediate corollary: Corollary 1.7. WebOn the other hand, harmonic measures arising from random walks. We prove that the absolute continuity between a harmonic measure and a Gibbs measure is equivalent to a relation between entropy, drift and critical exponent, extending the previous “fundamental inequality” of Guivarc’h, Ledrappier, and Blachere-Haissinsky-Mathieu. each now com planet of
Vaibhav Gadre University of Glasgow June 18, 2024
WebFeb 17, 2024 · Second, we show that the absolute continuity between a harmonic measure and a Gibbs measure is equivalent to a relation between entropy, (generalized) drift and … 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 … 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 ... csg torino