Random walks on diestel-leader graphs |
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Authors: | D Bertacchi |
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Institution: | (1) Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, Via Bicocca degli Arcimboldi 8, 20126 Milano, Italy |
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Abstract: | We investigate various features of a quite new family of graphs, introduced as a possible example of vertex-transitive graph
not roughly isometric with a Cayley graph of some finitely generated group. We exhibit a natural compactification and study
a large class of random walks, proving theorems concerning almost sure convergence to the boundary, a strong law of large
numbers and a central limit theorem. The asymptotic type of then-step transition probabilities of the simple random walk is determined. |
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Keywords: | and phrases" target="_blank"> and phrases tree horocyclic function DL-graph transition probabilities |
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