arXiv Analytics

Sign in

arXiv:1012.2956 [math.PR]AbstractReferencesReviewsResources

Penalisation of the symmetric random walk by several functions of the supremum

Pierre Debs

Published 2010-12-14Version 1

In this paper, we penalised the standard random walk by several functions of its maximum. The aim is to show that in spite of very close penalisation functions, under the new probabilities, the canonical process behaves very differently.

Related articles: Most relevant | Search more
arXiv:0801.1220 [math.PR] (Published 2008-01-08, updated 2008-10-16)
Optimal co-adapted coupling for the symmetric random walk on the hypercube
arXiv:1701.01349 [math.PR] (Published 2016-12-19)
Large time behaviour of symmetric random walk in high-contrast periodic environment
arXiv:1605.06227 [math.PR] (Published 2016-05-20)
Local Central Limit Theorem for a Random Walk Perturbed in One Point