On the favorite points of symmetric Lévy processes

2017/11/12 by Li, Bo, Xiao, Yimin, Yang, Xiaochuan
#60G15 #60J55 #60J75 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1711.04210

Abstract

This paper is concerned with asymptotic behavior (at zero and at infinity) of the favorite points of Lévy 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 Lévy processes.

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