Theoretical Statistics and Mathematics Unit, ISI Delhi

Random Walks in I.I.D. Random Environment on Non-Abelian Free Groups

by Siva Athreya, Antar Bandyopadhyay and Amites Dasgupta

We consider the random walk on an \emph{independent and identically distributed (i.i.d.)} random environment on a Cayley graph of a finitely generated non-abelian free group. Such a Cayley graph is readily seen to be a regular tree with even degree.
Under a non-degeneracy assumption we show that the walk is always transient.

isid/ms/2013/06 [fulltext]

Click here to return to Preprints Page