A note on random walk in random scenery
Amine Asselah, Fabienne Castell
Abstract
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 ta) with a<d/2. We study the probability, when averaged over both randomness, that X(n)>ny. We show that this probability is of order exp(-(ny)b) with b=a/(a+1).
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