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Excited Brownian Motions

We study a natural continuous time version of excited random walks, introduced by Norris, Rogers and Williams about twenty years ago. We obtain a necessary and sufficient condition for recurrence and for positive speed. This is analogous to results for excited (or cookie) random walks.

4 nodes3 linksoverview previewExcited Brownian Motions
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Co-authorshipAuthorshipAuthorshipTopic signalWExcited Brownian Motionspreprint / 2010AOlivier RaimondResearcherABruno SchapiraResearcherTmath.PR7239 works
PaperSignal 103 links

Excited Brownian Motions

preprint / 2010

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