73 citations · 721 across the 73 of their papers we have counts for
4 papers · 1 filter
Critical behavior in topological ensembles
K. Bulycheva, A. Gorsky, S. Nechaev
We consider the relation between three physical problems: 2D directed lattice random walks, ensembles of torus knots, and instanton ensembles in 5D SQED with one compac…
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…
Effects of topological constraints on globular polymers
Maxim Imakaev, Konstantin Tchourine, Sergei Nechaev +1
Topological constraints can affect both equilibrium and dynamic properties of polymer systems, and can play a role in the organization of chromosomes. Despite many theoretical stud…