Linear drift and Poisson boundary for random walks

DOI10.4310/PAMQ.2007.v3.n4.a8zbMath1142.60035MaRDI QIDQ930798

François Ledrappier, Anders Karlsson

Publication date: 1 July 2008

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

zbMATH Keywords

locally compact groupnondegenerate random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Boundary theory for Markov processes (60J50)

Related Items

Poisson-Furstenberg boundary and growth of groups ⋮ Compactifications of horospheric products ⋮ Homomorphisms to \(\mathbb R\) generated by quasimorphisms ⋮ Random walks on weakly hyperbolic groups ⋮ Deviation inequalities for random walks ⋮ Instability of set recurrence and Green's function on groups with the Liouville property ⋮ Homomorphisms to \(\mathbb R\) constructed from random walks ⋮ Generalized Lyapunov exponents and aspects of the theory of deep learning ⋮ Asymptotic entropy and Green speed for random walks on countable groups ⋮ Asymptotic entropy of the ranges of random walks on discrete groups ⋮ Asymptotic behaviors of random walks on countable groups ⋮ Asymptotic entropy of transformed random walks ⋮ Central limit theorems for Gromov hyperbolic groups ⋮ Brownian motion on treebolic space: positive harmonic functions ⋮ Random walks on countable groups ⋮ Hahn-Banach for metric functionals and horofunctions ⋮ On Continuity of Range, Entropy and Drift for Random Walks on Groups ⋮ Poisson boundaries of lamplighter groups: proof of the Kaimanovich-Vershik conjecture ⋮ Sharp lower bounds for the asymptotic entropy of symmetric random walks ⋮ A Case Leading to Rationality of the Drift

This page was built for publication: Linear drift and Poisson boundary for random walks