Ultrametric Diffusion, Exponential Landscapes, and the First Passage Time Problem

2015/11/27 by Anselmo Torresblanca-Badillo, Torresblanca-Badillo, Anselmo, W. A. Zúñiga‐Galindo +1 · 1 citation
Mathematics · #FOS: Physical sciences #Mathematical Physics (math-ph) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1511.08757

openalex publication_date 2015/11/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 Lévy processes, we also study some aspects of these processes including the first passage time problem.

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