A note on random walk in random scenery

Details A note on random walk in random scenery A note on random walk in random scenery

2005-01-05

arxiv.org/abs/math/0501068v1

Mathematics

Probability

13 pages

Scientific paper

We consider a d-dimensional random walk in random scenery X(n), where the
scenery consists of i.i.d. with exponential moments but a tail decay of the
form exp(-c t^a) with arandomness, that {X(n)>ny}. We show that this probability is of order
exp(-(ny)^b) with b=a/(a+1).

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