Random walks in i.i.d. random environment on Cayley trees

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


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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