73 citations · 721 across the 73 of their papers we have counts for
7 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…
Tracer Diffusion on a Crowded Random Manhattan Lattice
Carlos Mejía-Monasterio, Sergei Nechaev, Gleb Oshanin +1
We study by extensive numerical simulations the dynamics of a hard-core tracer particle (TP) in presence of two competing types of disorder - frozen convection flows on a square ra…
Many-body localization and new critical phenomena in regular random graphs and constrained Erdős-Renyi networks
V. Avetisov, A. Gorsky, S. Nechaev +1
We consider from the localization perspective the new critical phenomena discovered recently for perturbed random regular graphs (RRG) and constrained Erdős-Rényi networks (CERN) \…
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…
Thermodynamics and Topology of Disordered Systems: Statistics of the Random Knot Diagrams on Finite Lattice
Oleg Vasilyev, Sergei Nechaev
The statistical properties of random lattice knots, the topology of which is determined by the algebraic topological Jones-Kauffman invariants was studied by analytical and numeric…
Adsorption of a random heteropolymer at a potential well revisited: location of transition point and design of sequences
A. Naidenov, S. Nechaev
The adsorption of an ideal heteropolymer loop at a potential point well is investigated within the frameworks of a standard random matrix theory. On the basis of semi-analytical/se…