Grégoire Véchambre
Published 2016-05-17Version 1
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{\'e}vy potential. To do so, we study the h-valleys of a spectrally negative L{\'e}vy 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.
A density for the local time of the Brox diffusion
Rough path properties for local time of symmetric $α$ stable process
Variance decay for functionals of the environment viewed by the particle
![QR code for arXiv:1605.05084 [math.PR]](http://oss.arxitics.com/images/favicon.svg)