1 citations · 1 across the 3 of their papers we have counts for
3 papers
cond-mat.dis-nn2005
Three types of spectra in one-dimensional systems with random correlated binary potential
O. V. Usatenko, S. S. Melnik, V. A. Yampol'skii +3
The stationary one-dimensional tight-binding Schredinger equation with a weak diagonal long-range correlated disorder in the potential is studied. An algorithm for constructing the…
physics.class-ph2004
Memory Functions of the Additive Markov chains: Applications to Complex Dynamic Systems
S. S. Melnyk, O. V. Usatenko, V. A. Yampol'skii
A new approach to describing correlation properties of complex dynamic systems with long-range memory based on a concept of additive Markov chains (Phys. Rev. E 68, 061107 (2003))…
physics.data-an2002★ 1 cited
Binary N-Step Markov Chain as an Exactly Solvable Model of Long-Range Correlated Systems
O. V. Usatenko, V. A. Yampol'skii
A theory of systems with long-range correlations based on the consideration of binary N-step Markov chains is developed. In our model, the conditional probability that the i-th sym…