L. Garnett, Foliations, the ergodie theorem and Brownian ,sotion, J. Funct. Anal., 51 (1983), 285 311.

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Random Walks on Sierpinski Graphs: Hyperbolicity and Stochastic .. - Kaimanovich   (Correct)

....probabilities 7c a are determined by a random walk on the free semigroup .A via the action (6) i.e. p(a, a. w) a) for a certain non degenerate probability measure on .4; see [29] and the ferences therein (of. also an analogous uniqueness result for the BrownJan motion on foliations in [20]) The synchronization cocycle a (21) is obviously Lipschitz with respect to the graph structure sim with the constant C = 1. Theorem 4.10 (cf. 10] 36] Let 7ra) be the family of transition probabilities of a Markov chain on the weak tail equivalence relation ( 4, with a finite first ....

L. Garnett, Foliations, the ergodie theorem and Brownian ,sotion, J. Funct. Anal., 51 (1983), 285 311.

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