Ultrametric Diffusion, Exponential Landscapes, and the First Passage Time Problem
Mathematical Physics
2018-02-13 v3 math.MP
Abstract
In this article we study certain ultradiffusion equations connected with energy landscapes of exponential type. These equations are connected with the p-adic models of complex systems introduced by Avetisov et al. We show that the fundamental solutions of these equations are transition density functions of L\'evy processes, we also study some aspects of these processes including the first passage time problem.
Keywords
Cite
@article{arxiv.1511.08757,
title = {Ultrametric Diffusion, Exponential Landscapes, and the First Passage Time Problem},
author = {Anselmo Torresblanca-Badillo and W. A. Zúñiga-Galindo},
journal= {arXiv preprint arXiv:1511.08757},
year = {2018}
}
Comments
Minor revisions. Final version accepted in Acta Applicandae Mathematicae