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On the favorite points of symmetric L\'evy processes

Probability 2018-08-09 v2

Abstract

This paper is concerned with asymptotic behavior (at zero and at infinity) of the favorite points of L\'evy processes. By exploring Molchan's idea for deriving lower tail probabilities of Gaussian processes with stationary increments, we extend the result of Marcus (2001) on the favorite points to a larger class of symmetric L\'evy processes.

Keywords

Cite

@article{arxiv.1711.04210,
  title  = {On the favorite points of symmetric L\'evy processes},
  author = {Bo Li and Yimin Xiao and Xiaochuan Yang},
  journal= {arXiv preprint arXiv:1711.04210},
  year   = {2018}
}

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