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arXiv · 1511.08757

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

Anselmo Torresblanca-Badillo·W. A. Zúñiga-Galindo
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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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Anselmo Torresblanca-Badillo, W. A. Zúñiga-Galindo. 2018-02-12. Ultrametric Diffusion, Exponential Landscapes, and the First Passage Time Problem. https://arxiv.org/abs/1511.08757

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