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math-ph2025
Classical first passage problems for -adic stochastic processes
A. Kh. Bikulov, A. P. Zubarev
In this paper we present a comprehensive analysis of the solution of the classical problem of finding the distribution density of a random variable - the first passage time to a gi…
math-ph2024
Power laws and logarithmic oscillations in diffusion processes on infinite countable ultrametric spaces
A. Kh. Bikulov, A. P. Zubarev
It is shown that if the initial condition of the Cauchy problem for the diffusion equation on a general infinite countable ultrametric space is spherically symmetric with respect t…