Path decomposition of a spectrally negative L\'evy process, and local time of a diffusion in this environment
Probability
2018-02-27 v2
Abstract
We study the convergence in distribution of the supremum of the local time and of the favorite site for a transient diffusion in a spectrally negative L\'evy potential. To do so, we study the h-valleys of a spectrally negative L\'evy process, and we prove in partiular that the renormalized sequence of the h-minima converges to the jumping times sequence of a standard Poisson process.
Keywords
Cite
@article{arxiv.1605.05084,
title = {Path decomposition of a spectrally negative L\'evy process, and local time of a diffusion in this environment},
author = {Grégoire Véchambre},
journal= {arXiv preprint arXiv:1605.05084},
year = {2018}
}