On random walks on wreath products
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Publication:1872281
DOI10.1214/aop/1023481013zbMath1021.60004OpenAlexW2063754510MaRDI QIDQ1872281
Laurent Saloff-Coste, Christophe Pittet
Publication date: 6 May 2003
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1023481013
Related Items (35)
Random walks on groups and discrete subordination ⋮ Random walks on abelian-by-cyclic groups ⋮ Law of large numbers for the drift of the two-dimensional wreath product ⋮ The Poisson boundary of lamplighter random walks on trees ⋮ Gaussian estimates for random walks on some unimodular \(p\)-adic groups ⋮ 1324-avoiding permutations revisited ⋮ Local limit theorem for a Markov additive process on with a null recurrent internal Markov chain ⋮ Instability of set recurrence and Green's function on groups with the Liouville property ⋮ Isoperimetry for wreath products of Markov chains and multiplicity of selfintersections of random walks ⋮ Behaviors of entropy on finitely generated groups ⋮ On a class of Markov semigroups on discrete ultra-metric spaces ⋮ Spectral distribution and \(L^{2}\)-isoperimetric profile of Laplace operators on groups ⋮ Sur le nombre de points visités par une marche aléatoire sur un amas infini de percolation ⋮ The lamplighter group of rank two generated by a bireversible automaton ⋮ Rate of escape of random walks on wreath products and related groups. ⋮ Properties of random walks on discrete groups: time regularity and off-diagonal estimates ⋮ The Brownian motion on 𝐴𝑓𝑓(ℝ) and quasi-local theorems ⋮ Speed of random walks, isoperimetry and compression of finitely generated groups ⋮ On the spectrum of lamplighter groups and percolation clusters ⋮ The Liouville property and Hilbertian compression ⋮ Some limits related to random iterations of a lamplighter group ⋮ Random walks driven by low moment measures ⋮ Compacted binary trees admit a stretched exponential ⋮ Random walks on unimodular \(p\)-adic groups ⋮ Numerical studies of Thompson’s group F and related groups ⋮ Sub-dominant Cogrowth Behavior and the Viability of Deciding Amenability Numerically ⋮ Lamplighter graphs do not admit harmonic functions of finite energy ⋮ A note on the Poisson boundary of lamplighter random walks ⋮ Positive harmonic functions for semi-isotropic random walks on trees, lamplighter groups, and DL-graphs ⋮ A geometric approach to on-diagonal heat kernel lower bounds on groups. ⋮ Invariance of return probabilities on locally compact groups ⋮ Isoperimetric profiles and random walks on some groups defined by piecewise actions ⋮ Metabelian groups with large return probability ⋮ Random walks on free solvable groups ⋮ Invariance of return probabilities on locally compact groups. (Invariance des probabilités de retour sur des groupes localement compacts).
Cites Work
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