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- W2035553977 abstract "In this article we introduce a new type of nonlocal operators and study the Cauchy problem for certain parabolic-type pseudodifferential equations naturally associated to these operators. Some of these equations are the p-adic master equations of certain models of complex systems introduced by Avetisov et al. The fundamental solutions of these parabolic-type equations are transition functions of random walks on the n-dimensional vector space over the field of p-adic numbers. We study some properties of these random walks, including the first passage time." @default.
- W2035553977 created "2016-06-24" @default.
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- W2035553977 date "2013-11-01" @default.
- W2035553977 modified "2023-09-27" @default.
- W2035553977 title "Nonlocal operators, parabolic-type equations, and ultrametric random walks" @default.
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- W2035553977 doi "https://doi.org/10.1063/1.4828857" @default.
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