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 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).Comment: 13 page

Asselah, Amine

Castell, Fabienne

English

arXiv

13 pagesWe 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 any}. We show that this probability is of order exp(-(ny)^b) with b=a/(a+1)

A note on random walk in random scenery

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