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- Mikhail V. Tamm, Andrei Shkarin, V. Avetisov, Olga Valba, Sergei K Nechaev
- Physical review letters
- 2014

We consider random nondirected networks subject to dynamics conserving vertex degrees and study, analytically and numerically, equilibrium three-vertex motif distributions in the presence of anâ€¦ (More)

- V. Avetisov, Minas Hovhannisyan, A. Gorsky, Sergei K Nechaev, Mikhail V. Tamm, Olga Valba
- Physical review. E
- 2016

We consider the canonical ensemble of N-vertex ErdÅ‘s-RÃ©nyi (ER) random topological graphs with quenched vertex degree, and with fugacity Î¼ for each closed triple of bonds. We claim completeâ€¦ (More)

- V. Avetisov, A. H. Bikulov
- 2008

Application of p-adic analysis to models of spontaneous breaking of the replica symmetry Abstract Methods of p-adic analysis are applied to the investigation of the spontaneous symmetry breaking inâ€¦ (More)

- V. Avetisov, A H Bikulov, S. V. Kozyrev, Vladimir Al Osipov
- 2002

We demonstrate that pâ€“adic analysis is a natural basis for the construction of a wide variety of the ultrametric diffusion models constrained by hierarchical energy landscapes. A general analyticalâ€¦ (More)

- V. Avetisov, A. Gorsky, Sergei K Nechaev, Olga Valba
- Physical review. E
- 2016

We consider an equilibrium ensemble of large ErdÅ‘s-Renyi topological random networks with fixed vertex degree and two types of vertices, black and white, prepared randomly with the bond connectionâ€¦ (More)

- V. Avetisov, A. Gorsky, Sergei Nechaev, Olga Valba
- Physical review. E
- 2017

We consider critical behavior in the ensemble of polychromatic ErdÅ‘s-RÃ©nyi networks and regular random graphs, where network vertices are painted in different colors. The links can be randomlyâ€¦ (More)

The distribution of motifs in random hierarchical networks defined by nonsymmetric random blockâ€“hierarchical adjacency matrices, is constructed for the first time. According to the classification ofâ€¦ (More)

- V. Avetisov, Viktor A Ivanov, Dmitry Meshkov, Sergei K Nechaev
- Biophysical journal
- 2014

The over-damped relaxation of elastic networks constructed by contact maps of hierarchically folded fractal (crumpled) polymer globules was investigated in detail. It was found that the relaxationâ€¦ (More)

The question posed in the title of this article has been raised by Hans Frauenfelder over 20 years ago [1]. When studying the ligand-rebinding kinetics of myoglobin, Frauenfelder discovered thatâ€¦ (More)