Athreya, Siva ; Bandyopadhyay, Antar ; Dasgupta, Amites (2014) Random walks in i.i.d. random environment on Cayley trees Statistics & Probability Letters, 92 . pp. 39-44. ISSN 0167-7152
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.spl.2014.04.026
Abstract
We consider the random walk in an i.i.d. random environment on the infinite d-regular tree for d≥3. We consider the tree as a Cayley graph of the free product of finitely many copies of Z and Z2 and define the i.i.d. environment as invariant under the action of this group. Under a mild non-degeneracy assumption we show that the walk is always transient.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Random Walk on Cayley Trees; Random Walk in Random Environment; Trees; Transience |
| ID Code: | 99913 |
| Deposited On: | 12 Feb 2018 12:16 |
| Last Modified: | 12 Feb 2018 12:16 |
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