activity
20052018
most citedEntropy and long-range correlations in DNA sequences

14 citations · 44 across the 9 of their papers we have counts for

collaborators

9 papers

cond-mat.dis-nn2018

The plasmon-polariton mirroring due to strong fluctuations of the surface impedance

Yu. V. Tarasov, D. A. Iakushev, S. S. Melnik +1

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…

cond-mat.stat-mech2017★ 5 cited

Entropy of random symbolic high-order bilinear Markov chains

S. S. Melnik, O. V. Usatenko

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…

physics.data-an2017★ 6 cited

Decomposition of conditional probability for high-order symbolic Markov chains

S. S. Melnik, O. V. Usatenko

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 al…

cond-mat.stat-mech2015★ 8 cited

Entropy of finite random binary sequences with weak long-range correlations

S. S. Melnik, O. V. Usatenko

We study the N-step binary stationary ergodic Markov chain and analyze its differential entropy. Supposing that the correlations are weak we express the conditional probability fun…

cs.IT2014

Entropy and long-range correlations in random symbolic sequences

S. S. Melnik, O. V. Usatenko

The goal of this paper is to develop an estimate for the entropy of random long-range correlated symbolic sequences with elements belonging to a finite alphabet. As a plausible mod…

q-bio.OT2014★ 14 cited

Entropy and long-range correlations in DNA sequences

S. S. Melnik, O. V. Usatenko

We analyze the structure of DNA molecules of different organisms by using the additive Markov chain approach. Transforming nucleotide sequences into binary strings, we perform stat…