44 citations · 65 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
First Passage Time Distribution and Number of Returns for Ultrametric Random Walk
V. A. Avetisov, A. Kh. Bikulov, A. P. Zubarev
In this paper, we consider a homogeneous Markov process ξ(t;ω) on an ultrametric space Q_p, with distribution density f(x,t), x in Q_p, t in R_+, satisfying the ultrametric diffusi…