@article{33282,
  abstract     = {{We derive a criterium for the almost sure finiteness of perpetual integrals of L ́evy
processes for a class of real functions including all continuous functions and for general one-
dimensional L ́evy processes that drifts to plus infinity. This generalizes previous work of D ̈oring
and Kyprianou, who considered L ́evy processes having a local time, leaving the general case as an
open problem. It turns out, that the criterium in the general situation simplifies significantly in
the situation, where the process has a local time, but we also demonstrate that in general our cri-
terium can not be reduced. This answers an open problem posed in D ̈oring, L. and Kyprianou, A.
(2015).}},
  author       = {{Kolb, Martin and Savov, Mladen}},
  journal      = {{Bernoulli}},
  keywords     = {{L ́evy processes, Perpetual integrals, Potential measures}},
  number       = {{2}},
  pages        = {{1453--1472}},
  publisher    = {{Bernoulli Society for Mathematical Statistics and Probability}},
  title        = {{{A Characterization of the Finiteness of Perpetual Integrals of Levy Processes}}},
  doi          = {{https://doi.org/10.48550/arXiv.1903.03792}},
  volume       = {{26}},
  year         = {{2020}},
}