Random walks on generalized lattices |
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Authors: | Maura Salvatori |
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Affiliation: | (1) Dipartimento Di Matematica, Via Saldini 50, I-201 33 Milano, Italy |
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Abstract: | A generalized lattice is a graph on which the groupZd acts almost transitively. The relations among various features of random walks on generalized lattices are studied. In particular we relate the mean displacement, the drift-freeness of the random walk and the existence of linear harmonic functions. Applications to recurrence criteria are given. |
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Keywords: | 60J15 05C25 |
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