44 citations · 102 across the 24 of their papers we have counts for
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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…
On the analog of the Kolmogorov-Arnold superposition representation for continuous functions of several -adic variables
Alexander P. Zubarev
It is shown that any continuous function depending on several -adic variables, each of which is defined on , can be represented as a superposition of continuous…
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…
On the ultrametric generated by random distribution of points in Euclidean spaces of large dimensions with correlated coordinates
A. P. Zubarev
In a recent paper the author proved a theorem to the effect that the matrix of normalized Euclidean distances on the set of specially distributed random points in the -dimension…
Application of -adic analysis methods in describing Markov processes on ultrametric spaces isometrically embeddable into
A. Kh. Bikulov, A. P. Zubarev
We propose a method for describing stationary Markov processes on the class of ultrametric spaces isometrically embeddable in the field of -adic nu…
On one real basis for
A. Kh. Bikulov, A. P. Zubarev
We construct new bases of real functions from and from . These functions are eigenfunctions of the -adic pseudo-diffe…