44 citations · 102 across the 24 of their papers we have counts for
24 papers
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…
The sojourn time problem for a -adic random walk and its applications to the spectral diffusion of proteins
A. Kh. Bikulov, A. P. Zubarev
We consider the problem of the distribution of the sojourn time in a compact set in the case of a -adic random walk. We rely on the results of our previous stud…
On -adic cascade equations of hydrodynamic type in modeling fully developed turbulence
A. P. Zubarev
A -adic hydrodynamic type equation with two integrals of motion is proposed. It can be considered as a model cascade equation for energy dissipation in fully developed turbulenc…
Ultrametric theory of conformational dynamics of protein molecules in a functional state and the description of experiments on the kinetics of CO binding to myoglobin
A. Kh. Bikulov, A. P. Zubarev
The paper is devoted to a systematic account of the theory of conformational dynamics of protein molecules. As an example of application of this theory, we provide a complete analy…