Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Usatenko, O. V."'
Autor:
Apostolov, S. S., Usatenko, O. V., Yampol'skii, V. A., Melnyk, S. S., Grigolini, P., Krokhin, A.
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 explicit form by introducing an integral non-local memory term into the cond
Externí odkaz:
http://arxiv.org/abs/2402.11038
Autor:
Usatenko, O. V., Pritula, G. M.
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 temperature in the context of binary high-order Markov chain with step-w
Externí odkaz:
http://arxiv.org/abs/2307.12841
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 sequences with the equilibrium Ising chains at given temperatures. The second
Externí odkaz:
http://arxiv.org/abs/2205.15303
Publikováno v:
Phys. Rev. E 103, 032139 (2021)
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 on the amplitudes $\nu$ and $\mu_0$ of the local and non-local memory
Externí odkaz:
http://arxiv.org/abs/2012.14506
Publikováno v:
Physica A 528 (2019) 121477
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 tool for their generation. It is supposed that the state space of the
Externí odkaz:
http://arxiv.org/abs/2002.05675
Publikováno v:
Phys. Rev. E 100, 052141 (2019)
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 introduce an integral memory term depending on the past of the process in
Externí odkaz:
http://arxiv.org/abs/1904.03514
Akademický článek
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Scattering of TM-polarized surface plasmon-polariton waves (PPW) by a finite segment of the metal-vacuum interface with randomly fluctuating surface impedance is examined. Solution of the integral equation relating the scattered field with the field
Externí odkaz:
http://arxiv.org/abs/1801.02067
Autor:
Melnik, S. S., Usatenko, O. V.
The main goal of this paper is to develop an estimate for the entropy of random stationary ergodic symbolic sequences with elements belonging to a finite alphabet. We present here the detailed analytical study of the entropy for the high-order Markov
Externí odkaz:
http://arxiv.org/abs/1709.06642
Autor:
Melnik, S. S., Usatenko, O. V.
Publikováno v:
Phys. Rev. E 96, 012158 (2017)
The main goal of the paper is to develop an estimate for the conditional probability function of random stationary ergodic symbolic sequences with elements belonging to a finite alphabet. We elaborate a decomposition procedure for the conditional pro
Externí odkaz:
http://arxiv.org/abs/1703.07764