Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Avetisov, V. A."'
In the paper we investigate statistical and topological properties of fractional Brownian polymer chains, equipped with the short-range volume interactions. The attention is paid to statistical properties of collapsed conformations with the fractal d
Externí odkaz:
http://arxiv.org/abs/2006.12153
Using scaling arguments and extensive numerical simulations, we study dynamics of a tracer particle in a corrugated channel represented by a periodic sequence of broad chambers and narrow funnel-like bottlenecks enclosed by a hard-wall boundary. A tr
Externí odkaz:
http://arxiv.org/abs/2006.07410
Publikováno v:
Phys. Rev. E 102, 010401 (2020)
Pandemic distribution of COVID-19 in the world has motivated us to discuss combined effects of network clustering and adaptivity on epidemic spreading. We address the question concerning the choice of optimal mechanism for most effective prohibiting
Externí odkaz:
http://arxiv.org/abs/2003.12290
We have performed the comparative spectral analysis of structural connectomes for various organisms using open-access data. Our analysis indicates several new peculiar features of the human connectome. We found that the spectral density of human conn
Externí odkaz:
http://arxiv.org/abs/1812.06317
Publikováno v:
Phys. Rev. E 98, 032308 (2018)
We propose two models of social segregation inspired by the Schelling model. Agents in our models are nodes of evolving social networks. The total number of social connections of each node remains constant in time, though may vary from one node to th
Externí odkaz:
http://arxiv.org/abs/1801.03912
Publikováno v:
Phys. Rev. E 96, 062309 (2017)
We consider the canonical ensemble of multilayered constrained Erdos-Renyi networks (CERN) and regular random graphs (RRG), where each layer represents graph vertices painted in a specific color. We study the critical behavior in such networks under
Externí odkaz:
http://arxiv.org/abs/1705.00233
We consider from the localization perspective the new critical phenomena discovered recently for perturbed random regular graphs (RRG) and constrained Erd\H{o}s-R\'enyi networks (CERN) \cite{crit2}. At some critical value of the chemical potential of
Externí odkaz:
http://arxiv.org/abs/1611.08531
Publikováno v:
Phys. Rev. E 94, 062313 (2016)
We consider the canonical ensemble of $N$-vertex Erd\H{o}s-R\'enyi (ER) random topological graphs with quenched vertex degree, and with fugacity $\mu$ for each closed triple of bonds. We claim complete defragmentation of large-$N$ graphs into the col
Externí odkaz:
http://arxiv.org/abs/1607.03871
We investigate the eigenvalue density in ensembles of large sparse Bernoulli random matrices. We demonstrate that the fraction of linear subgraphs just below the percolation threshold is about 95\% of all finite subgraphs, and the distribution of lin
Externí odkaz:
http://arxiv.org/abs/1506.05037
We have considered an equilibrium ensemble of large Erd\H{o}s-Renyi topological random networks with fixed vertex degree and two types of vertices, black and white, prepared randomly with the bond connection probability, $p$. The network energy is a
Externí odkaz:
http://arxiv.org/abs/1506.00205