73 citations · 721 across the 73 of their papers we have counts for
35 papers · 1 filter
Largest eigenvalue statistics of sparse random adjacency matrices
Bogdan Slavov, Kirill Polovnikov, Sergei Nechaev +1
We investigate the statistics of the largest eigenvalue, , in an ensemble of large () sparse adjacency matrices, . The most attention is paid…
Generalized Devil's staircase and RG flows
Ana Flack, Alexander Gorsky, Sergei Nechaev
We discuss a two-parameter renormalization group (RG) flow when parameters are organized in a single complex variable, , with modular properties. Throughout the work we consider…
Eigenvalue detachment, BBP transition and constrained Brownian motion
Alexander Gorsky, Sergei Nechaev, Alexander Valov
We discuss the eigenvalue detachment transition in terms of scaling of fluctuations in ensembles of paths located near convex boundaries of various physical nature. We consider num…
From steady-state TASEP model with open boundaries to 1D Ising model at negative fugacity
Mikhail V. Tamm, Maxym Dudka, Nikita Pospelov +2
We demonstrate here a series of exact mappings between particular cases of four statistical physics models: equilibrium 1-dimensional lattice gas with nearest-neighbor repulsion, $…
Fixman problem revisited: When fluctuations of inflated ideal polymer loop are non-Gaussian?
Sergei Nechaev, Alexander Valov
We consider statistics of a planar ideal polymer loop of length in a large deviation regime, when a gyration radius, , is slightly less than the radius of a fully inflated…
Growth rate of 3D heaps of pieces
M. V. Tamm, N. Pospelov, S. Nechaev
We consider configurational statistics of three-dimensional heaps of pieces () on a simple cubic lattice in a large 3D bounding box of base , and calculate…
Equilibrium mean-field-like statistical models with KPZ scaling
Alexander Gorsky, Sergei Nechaev, Alexander Valov
We have considered three different "one-body" statistical systems involving Brownian excursions, which possess for fluctuations Kardar-Parisi-Zhang scaling with the critical expone…
Combinatorics of 3D directed animals on a simple cubic lattice
Sergei Nechaev, Michael Tamm
We provide combinatorial arguments based on a two-dimensional extension of a locally-free semigroup allowing us to compute the growth rate, , of the partition function $Z_N=N^θΛ…
Anomalous 1D fluctuations of a simple 2D random walk in a large deviation regime
Sergei Nechaev, Kirill Polovnikov, Senya Shlosman +2
The following question is the subject of our work: could a two-dimensional random path pushed by some constraints to an improbable "large deviation regime", possess extreme statist…
Peculiar spectral statistics of ensembles of trees and star-like graphs
V. Kovaleva, Yu. Maximov, S. Nechaev +1
In this paper we investigate the eigenvalue statistics of exponentially weighted ensembles of full binary trees and -branching star graphs. We show that spectral densities of co…
Paths counting on simple graphs: from escape to localization
S. K. Nechaev, M. V. Tamm, O. V. Valba
We study the asymptotic behavior of the number of paths of length on several classes of infinite graphs with a single special vertex. This vertex can work as an entropic trap f…
From statistics of regular tree-like graphs to distribution function and gyration radius of branched polymers
Alexander Y. Grosberg, Sergei K. Nechaev
We consider flexible branched polymer, with quenched branch structure, and show that its conformational entropy as a function of its gyration radius , at large , obeys, in th…
Topological transition in disordered planar matching: combinatorial arcs expansion
Andrey Y. Lokhov, Olga V. Valba, Sergei K. Nechaev +1
In this paper, we investigate analytically the properties of the disordered Bernoulli model of planar matching. This model is characterized by a topological phase transition, yield…
Lamplighter model of a random copolymer adsorption on a line
L. I. Nazarov, S. K. Nechaev, M. V. Tamm
We present a model of an AB-diblock random copolymer sequential self-packaging with local quenched interactions on a one-dimensional infinite sticky substrate. It is assumed that t…
New phase transition in random planar diagrams and RNA-type matching
Andrey Y. Lokhov, Sergei K. Nechaev, Mikhail V. Tamm +1
We study the planar matching problem, defined by a symmetric random matrix with independent identically distributed entries, taking values 0 and 1. We show that the existence of a…
Islands of stability in motif distributions of random networks
M. V. Tamm, A. B. Shkarin, V. A. Avetisov +2
We consider random non-directed networks subject to dynamics conserving vertex degrees and study analytically and numerically equilibrium three-vertex motif distributions in the pr…
Fractal globule as an artificial molecular machine
V. A. Avetisov, V. A. Ivanov, D. A. Meshkov +1
The relaxation of an elastic network, constructed by a contact map of a fractal (crumpled) polymer globule is investigated. We found that: i) the slowest mode of the network is sep…
From generalized directed animals to the asymmetric simple exclusion process
Nils Haug, Sergei Nechaev, Mikhail Tamm
Using the generalized normally ordered form of words in a locally-free group of generators, we show that in the limit , the partition function of weighted directed…
From elongated spanning trees to vicious random walks
A. Gorsky, S. Nechaev, V. S. Poghosyan +1
Given a spanning forest on a large square lattice, we consider by combinatorial methods a correlation function of paths ( is odd) along branches of trees or, equivalently, $…
Statistics of layered zigzags: a two-dimensional generalization of TASEP
Mikhail Tamm, Sergei Nechaev, Satya N. Majumdar
A novel discrete growth model in 2+1 dimensions is presented in three equivalent formulations: i) directed motion of zigzags on a cylinder, ii) interacting interlaced TASEP layers,…
Ballistic deposition patterns beneath a growing KPZ interface
Konstantin Khanin, Sergei Nechaev, Gleb Oshanin +2
We consider a (1+1)-dimensional ballistic deposition process with next-nearest neighbor interaction, which belongs to the KPZ universality class, and introduce for this discrete mo…
KPZ scaling in topological mixing
M. Beltran del Rio, S. Nechaev, M. Taran
In the spirit of recent works on topological chaos generated by sequential rotation of infinitely thin stirrers placed in a viscous liquid, we consider the statistical properties o…
Unzipping of two random heteropolymers: Ground state energy and finite size effects
M. V. Tamm, S. K. Nechaev
We have analyzed the dependence of average ground state energy per monomer, , of the complex of two random heteropolymers with quenched sequences, on chain length, , in the e…
Bethe Ansatz in the Bernoulli Matching Model of Random Sequence Alignment
Satya N. Majumdar, Kirone Mallick, Sergei Nechaev
For the Bernoulli Matching model of sequence alignment problem we apply the Bethe ansatz technique via an exact mapping to the 5--vertex model on a square lattice. Considering the…