Ultrametric Diffusion,Exponential Landscapes,and the First Passage Time Problem |
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| Authors: | Anselmo Torresblanca-Badillo W A Zúñiga-Galindo |
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| Institution: | 1.Departamento de Matemáticas y Estádistica,Universidad del Norte,Barranquilla,Colombia;2.Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional Departamento de Matemáticas,Santiago de Querétaro,Mexico |
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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 with state space \(\mathbb{Q}_{p}^{n}\), we also study some aspects of these processes including the first passage time problem. |
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