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math.PR2013
Regular sequences and random walks in affine buildings
James Parkinson, Wolfgang Woess
We define and characterise regular sequences in affine buildings, thereby giving the "-adic analogue" of the fundamental work of Kaimanovich. As applications we prove limit theo…
math.PR2013★ 66 cited
Isotropic Markov semigroups on ultra-metric spaces
Alexander Bendikov, Alexander Grigor'yan, Christophe Pittet +1
Let (X,d) be a locally compact separable ultra-metric space. Given a reference measure μ on X and a step length distribution on the non-negative reals, we construct a symmetric Mar…