Excited Brownian Motions

Details Excited Brownian Motions Excited Brownian Motions

2008-10-20

arxiv.org/abs/0810.3538v3

Mathematics

Probability

Scientific paper

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.

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