arXiv Analytics

Sign in

arXiv:1307.0270 [math.PR]AbstractReferencesReviewsResources

Barriers, exit time and survival probability for unimodal Lévy processes

Krzysztof Bogdan, Tomasz Grzywny, Michał Ryznar

Published 2013-07-01, updated 2013-11-20Version 2

We construct superharmonic functions and give sharp bounds for the expected exit time and probability of survival for isotropic unimodal L\'evy processes

Comments: 33 pages, 1 figure, minor additions and editorial changes
Categories: math.PR, math.AP
Subjects: 31B25, 60J50, 60J75, 60J35
Related articles: Most relevant | Search more
arXiv:1402.4589 [math.PR] (Published 2014-02-19)
Dirichlet heat kernel for unimodal Lévy processes
arXiv:1901.08745 [math.PR] (Published 2019-01-25)
Estimates of Dirichlet heat kernels for unimodal Lévy processes with low intensity of small jumps
arXiv:1611.10304 [math.PR] (Published 2016-11-30)
Potential kernels, probabilities of hitting a ball, harmonic functions and the boundary Harnack inequality for unimodal Lévy processes