38 citations · 239 across the 32 of their papers we have counts for
32 papers
Random telegraph processes with non-local memory
S. S. Apostolov, O. V. Usatenko, V. A. Yampol'skii +3
We study two-state (dichotomous, telegraph) random ergodic continuous-time processes with dynamics depending on their past. We take into account the history of process in an explic…
Information temperature as a parameter of random sequence complexity
O. V. Usatenko, G. M. Pritula
In this study, we continue our exploration of the concept of information temperature as a characteristic of random sequences. We describe methods for introducing the information te…
Information entropy and temperature of the binary Markov chains
O. V. Usatenko, S. S. Melnyk, G. M. Pritula +1
We propose two different approaches for introducing the information temperature of the binary N-th order Markov chains. The first approach is based on comparing the Markov sequence…
Memory-dependent noise-induced resonance and diffusion in non-markovian systems
S. S. Melnyk, O. V. Usatenko, V. A. Yampol'skii
We study the random processes with non-local memory and obtain new solutions of the Mori-Zwanzig equation describing non-markovian systems. We analyze the system dynamics depending…
Correlation properties of the random linear high-order Markov chains
V. E. Vekslerchik, G. M. Pritula, S. S. Melnik +1
The aim of this paper is to study the correlation properties of random sequences with additive linear conditional probability distribution function (CPDF) and elaborate a reliable…
Continuous stochastic processes with non-local memory
S. S. Melnyk, V. A. Yampol'skii, O. V. Usatenko
We study the non-Markovian random continuous processes described by the Mori-Zwanzig equation. As a starting point, we use the Markovian Gaussian Ornstein-Uhlenbeck process and int…