44 citations · 65 across the 11 of their papers we have counts for
11 papers
A toy model of a protein prototype reveals nontrivial ultrametricity of the energy landscape
A. Kh. Bikulov, A. P. Zubarev
A model for studying the ultrametricity of the energy landscape in a disordered heteropolymer is presented. It is treated as a simplified model of a protein molecule in which amino…
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…
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…
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…
Model of the -Adic Random Walk in a Potential
A. Kh. Bikulov, A. P. Zubarev
We consider the -adic random walk model in a potential, which can be viewed as a generalization of -adic random walk models used for description of protein conformational dyn…