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arXiv · 0904.4871

Right inverses of L\'{e}vy processes

Ron Doney·Mladen Savov
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Abstract

We call a right-continuous increasing process $K_x$ a partial right inverse (PRI) of a given L\'{e}vy process $X$ if $X_{K_x}=x$ for at least all $x$ in some random interval $[0,\zeta)$ of positive length. In this paper, we give a necessary and sufficient condition for the existence of a PRI in terms of the L\'{e}vy triplet.

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Ron Doney, Mladen Savov. 2009-04-30. Right inverses of L\'{e}vy processes. https://doi.org/10.1214/09-aop515

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