On the most visited sites of symmetric Markov processes |
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Institution: | 1. Laboratoire de Probabilités et Modèles Aléatoires, Université de Paris VI, 4, Place Jussieu, 75252, Paris Cedex 05, France;2. Department of Mathematics, University of Utah, 155 S. 1400 E. JWB 233, Salt Lake City, UT 85112-0900, USA |
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Abstract: | A growing body of recent works have been devoted to the study of the favorite points of various concrete Markov processes. We contribute to this subject by showing that for a large class of recurrent strongly symmetric Markov processes, singletons are polar for the most visited site(s). |
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