219 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Russian Academy of SciencesRU61 papers
- P.N. Lebedev Physical Institute of the Russian Academy of SciencesRU22 papers
- Lomonosov Moscow State UniversityRU21 papers
- Centre National de la Recherche ScientifiqueFR20 papers
- National Research University Higher School of EconomicsRU15 papers
- Interdisciplinary Scientific Center J.-V. PonceletRU10 papers
- Moscow Institute of Physics and TechnologyRU10 papers
- Laboratoire de Physique Théorique et Modèles StatistiquesFR9 papers
- Université Paris-SudFR9 papers
- Technion – Israel Institute of TechnologyIL8 papers
- Australian National UniversityAU7 papers
- Institute for Information Transmission ProblemsRU7 papers
11 papers · 1 filter
Lifshitz tails at spectral edge and holography with a finite cutoff
Alexander Gorsky, Sergei Nechaev, Alexander Valov
We propose the holographic description of the Lifshitz tail typical for one-particle spectral density of bounded disordered system in space. To this aim the "polymer represen…
Disorder-free weak dynamic localization in deformable lattices
A. V. Savin, Y. S. Kivshar, M. I. Molina
We study the electron transport in a deformable lattice modeled in the semiclassical approximation as a discrete nonlinear elastic chain where acoustic phonons are in thermal equil…
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…
Native ultrametricity of sparse random ensembles
V. Avetisov, P. L. Krapivsky, S. Nechaev
We investigate the eigenvalue density in ensembles of large sparse Bernoulli random matrices. We demonstrate that the fraction of linear subgraphs just below the percolation thresh…
On scale-free and poly-scale behaviors of random hierarchical network
V. A. Avetisov, A. V. Chertovich, S. K. Nechaev +1
In this paper the question about statistical properties of block--hierarchical random matrices is raised for the first time in connection with structural characteristics of random…
Wannier-Stark ladder in the linear absorption of a random system with scale-free disorder
E. Diaz, F. Dominguez-Adame, Yu. A. Kosevich +1
We study numerically the linear optical response of a quasiparticle moving on a one-dimensional disordered lattice in the presence of a linear bias. The random site potential is as…
p-Adic description of characteristic relaxation in complex systems
V. A. Avetisov, A. Kh. Bikulov, V. A. Osipov
This work is a further development of an approach to the description of relaxation processes in complex systems on the basis of the p-adic analysis. We show that three types of rel…
Discrete breathers in polyethylene chain
A. V. Savin, L. I. Manevitch
The existence of discrete breathers (DBs), or intrinsic localized modes (localized periodic oscillations of transzigzag) is shown. In the localization region periodic contraction-e…
Heat conduction in 1D lattices with on-site potential
A. V. Savin, O. V. Gendelman
The process of heat conduction in one-dimensional lattice with on-site potential is studied by means of numerical simulation. Using discrete Frenkel-Kontorova, --4 and sinh-Gord…
p-Adic Models of Ultrametric Diffusion Constrained by Hierarchical Energy Landscapes
V A Avetisov, A H Bikulov, S V Kozyrev +1
We demonstrate that p-adic analysis is a natural basis for the construction of a wide variety of the ultrametric diffusion models constrained by hierarchical energy landscapes. A g…
Application of p-adic analysis to models of spontaneous breaking of the replica symmetry
V. A. Avetisov, A. H. Bikulov, S. V. Kozyrev
Methods of p-adic analysis are applied to the investigation of the spontaneous symmetry breaking in the models of spin glasses. A p-adic expression for the replica matrix is given…