Excursions away from a regular point for one-dimensional symmetric Levy processes without Gaussian part

2008/05/26 by Kouji Yano, Yano, Kouji
Decision Sciences · Economics, Econometrics and Finance · Mathematics · #Probability and Risk Models #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #math.PR

paper · pdf · doi:10.48550/arxiv.0805.3881

arxiv created 2009/09/01 · arxiv updated 2009/12/01

Abstract

The characteristic measure of excursions away from a regular point is studied for a class of symmetric Lévy processes without Gaussian part. It is proved that the harmonic transform of the killed process enjoys Feller property. The result is applied to prove extremeness of the excursion measure and to prove several sample path behaviors of the excursion and the h -path processes.

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