71 citations · 283 across the 26 of their papers we have counts for
3 papers · 1 filter
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…
Overlap of two Brownian trajectories: exact results for scaling functions
Mikhail V. Tamm, Vladimir I. Stadnichuk, Alena M. Ilyina +1
We consider two random walkers starting at the same time from different points in space separated by a given distance . We compute the average volume of the space visited…