WebBlachère, P. Haissinsky and P. Mathieu , Asymptotic entropy and Green speed for random walks on countable groups, Ann. Probab., 36 ( 2008), pp. 1134 ... Ergodic theory on Galton-Watson trees: Speed of random walk and dimension of harmonic measure, Ergodic Theory Dynam. Systems, 15 ( 1995), pp. 593 -- 619 . Crossref ISI Google Scholar. 9. WebAsymptotic entropy and Green speed for random walks on countable groups Citation for published version (APA): Blachère, S. A. M., Haïssinsky, P., & Mathieu, P. (2008). …
Asymptotic entropy and Green speed for random …
WebJul 19, 2006 · Sébastien Blachère, Peter Haïssinsky, Pierre Mathieu. We study asymptotic properties of the Green metric associated with transient random walks on countable … WebWe study asymptotic properties of the Green metric associated with 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. The proof relies on integral representations of both quantities with the extended Martin kernel. In the case of finitely generated groups, … hikaru classical rating
Absolute continuity of harmonic measure for a random walk …
WebHaïssinsky et al. (2024) proved analyticity of the drift for random walks on surface groups and also established a central limit theorem for the word length. The survey article of … 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 formulas of Guivarc’h, Ledrappier, and Blachere-Haissinsky-Mathieu. WebJun 18, 2024 · Blachère, S., Haïssinsky, P., Mathieu, P.: Asymptotic entropy and Green speed for random walks on countable groups. Ann. Probab. 36 (3), 1134–1152 (2008) Article MathSciNet Google Scholar Bougerol, P., Elie, L.: Existence of positive harmonic functions on groups and on covering manifolds. Ann. Inst. H. Poincaré Probab. Statist. … small vehicle tracking device