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- Title
Ultrametric Diffusion, Exponential Landscapes, and the First Passage Time Problem.
- Authors
Torresblanca-Badillo, Anselmo; Zúñiga-Galindo, W. A.
- Abstract
In this article we study certain ultradiffusion equations connected with energy landscapes of exponential type. These equations are connected with the p<inline-graphic></inline-graphic>-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 with state space Qpn<inline-graphic></inline-graphic>, we also study some aspects of these processes including the first passage time problem.
- Subjects
P-adic analysis; PROBLEM solving; GRAPH theory; MARKOV processes; DENSITY functional theory
- Publication
Acta Applicandae Mathematicae, 2018, Vol 157, Issue 1, p93
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-018-0165-2