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On the most visited sites by a symmetric stable process
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  • Published: April 1997

On the most visited sites by a symmetric stable process

  • Nathalie Eisenbaum1 

Probability Theory and Related Fields volume 107, pages 527–535 (1997)Cite this article

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Summary.

At time t, the most visited site of a linear Brownian motion is defined as the point which realises the supremum of the local times at time t. Let V be the time indexed process of the most visited sites by a linear Brownian motion. We show that every value is polar for V. Those results are extended from Brownian motion to symmetric stable processes, and then to the absolute value of a symmetric stable process.

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Authors and Affiliations

  1. Laboratoire de Probabilités, Université Paris VI 4, Place Jussieu, Tour 56, 3ème étage, F-75252 Paris Cedex 05, France, , , , , , FR

    Nathalie Eisenbaum

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  1. Nathalie Eisenbaum
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Received: 1 March 1996 / In revised form: 17 October 1996

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Eisenbaum, N. On the most visited sites by a symmetric stable process. Probab Theory Relat Fields 107, 527–535 (1997). https://doi.org/10.1007/s004400050097

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  • Issue Date: April 1997

  • DOI: https://doi.org/10.1007/s004400050097

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  • Mathematics Subject Classification: 60J55
  • 60J65
  • 60J30
  • 60G18
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