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1 MODAL-X - Modélisation aléatoire de Paris X 2 LM-Orsay - Laboratoire de Mathématiques d-Orsay

Abstract : 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.

Keywords : Law of large numbers Reinforced process Excited process Self-interacting process Recurrence Law of large numbers.

Author: Olivier Raimond - Bruno Schapira -

Source: https://hal.archives-ouvertes.fr/


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