@article {Gilch2007,
author="Lorenz A. Gilch",
title={Rate of escape of random walks on free products},
journal="J. Aust. Math. Soc.",
fjournal={Journal of the Australian Mathematical Society},
volume="83",
year="2007",
number="1",
pages="31--54",
issn="1446-7887",
coden="JAUMA2",
language="English",
date="Received 23 June 2005; revised 24 April 2006 Communicated by V. Stefanov",
classmath="primary 60G50; secondary 20E06, 60B15",
publisher={AMPAI, Australian Mathematical Society},
keywords={},
MRID="MR2354???",
ZBLID="pre05231331",
url="http://www.austms.org.au/Journal+of+the+Australian+Mathematical+Society/V83P1/831-s110-Gilch/index.html",
abstract={Suppose we are given the free product $V$ of a finite family of finite or countable sets $(V_i)_{i\in \mathcal {I}}$ and probability measures on each $V_i$, which govern random walks on it. We consider a transient random walk on the free product arising naturally from the random walks on the $V_i$. We prove the existence of the rate of escape with respect to the block length, that is, the speed at which the random walk escapes to infinity, and furthermore we compute formulae for it. For this purpose, we present three different techniques providing three different, equivalent formulae. }
}