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arXiv · 1711.04210

On the favorite points of symmetric L\'evy processes

Bo Li·Yimin Xiao·Xiaochuan Yang
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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.

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Bo Li, Yimin Xiao, Xiaochuan Yang. 2017-11-12. On the favorite points of symmetric L\'evy processes. https://arxiv.org/abs/1711.04210

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