Hitting times of points for symmetric L\'evy processes with completely monotone jumps
Probability
2017-02-15 v2
Abstract
Small-space and large-time estimates and asymptotic expansion of the distribution function and (the derivatives of) the density function of hitting times of points for symmetric L\'evy processes are studied. The L\'evy measure is assumed to have completely monotone density function, and a scaling-type condition inf z Psi"(z) / Psi'(z) > 0 is imposed on the L\'evy-Khintchine exponent Psi. Proofs are based on generalised eigenfunction expansion for processes killed upon hitting the origin.
Keywords
Cite
@article{arxiv.1403.3714,
title = {Hitting times of points for symmetric L\'evy processes with completely monotone jumps},
author = {Tomasz Juszczyszyn and Mateusz Kwaśnicki},
journal= {arXiv preprint arXiv:1403.3714},
year = {2017}
}
Comments
24 pages