58 citations · 58 across the 4 of their papers we have counts for
4 papers
Path Counting on Tree-like Graphs with a Single Entropic Trap: Critical Behavior and Finite Size Effects
Alexey V. Gulyaev, Mikhail V. Tamm
It is known that maximal entropy random walks and partition functions that count long paths on graphs tend to become localized near nodes with a high degree. Here, we revisit the s…
Eigenvalue tunnelling and decay of quenched random networks
V. Avetisov, M. Hovhannisyan, A. Gorsky +3
We consider the canonical ensemble of -vertex Erdős-Rényi (ER) random topological graphs with quenched vertex degree, and with fugacity for each closed triple of bonds. We c…
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…