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research article
Lyapunov exponents of random walks in small random potential: the upper bound
We consider the simple random walk on Z(d) evolving in a random i.i.d. potential taking values in [0, +infinity). The potential is not assumed integrable, and can be rescaled by a multiplicative factor lambda > 0. Completing the work started in a companion paper, we give the asymptotic behaviour of the Lyapunov exponents for d >= 3, both annealed and quenched, as the scale parameter lambda tends to zero.
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Type
research article
Web of Science ID
WOS:000353544800001
Authors
Publication date
2015
Publisher
Published in
Volume
20
Start page
1
End page
18
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
May 29, 2015