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Langevin approach for the dynamics of the contact process on annealed scale-free networks
(2009-03-19)
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We study the dynamics of the contact process, one of the simplest nonequilibrium stochastic processes, taking place on a scale-free network. We consider the network topology as annealed, i.e., all links are rewired at each ...
Evolutionary dynamics of the cryptocurrency market
(2017-11-15)
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The cryptocurrency market surpassed the barrier of $100 billion market capitalization in June 2017, after months of steady growth. Despite its increasing relevance in the financial world, a comprehensive analysis of the ...
Scalar model of flocking dynamics on complex social networks
(American Institute of Physics (AIP), 2019-10-14)
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We investigate the effects of long-range social interactions in flocking dynamics by studying the dynamics of a scalar model of collective motion embedded in a complex network representing a pattern of social interactions, ...
Lifespan method as a tool to study criticality in absorbing-state phase transitions
(2015-05-12)
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In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Boguna, C. Castellano, and R. Pastor-Satorras, Phys. Rev. ...
Complex networks and glassy dynamics: walks in the energy landscape
(Institute of Physics (IOP), 2010-03)
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We present a simple mathematical framework for the description of the dynamics of glassy systems in terms of a random walk in a complex energy landscape pictured as a network of minima. We show how to use the tools developed ...
Effects of heterogeneous social interactions on flocking dynamics
(2018-02-08)
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Social relationships characterize the interactions that occur within social species and may have an important impact on collective animal motion. Here, we consider a variation of the standard Vicsek model for collective ...
Thresholds for epidemic spreading in networks
(2010)
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We study the threshold of epidemic models in quenched networks with degree distribution given by a power-law. For the susceptible-infected-susceptible model the activity threshold c vanishes in the large size limit on any ...
Distinct types of eigenvector localization in networks
(Macmillan Publishers, 2016-01-12)
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The spectral properties of the adjacency matrix provide a trove of information about the structure and function of complex networks. In particular, the largest eigenvalue and its associated principal eigenvector are crucial ...
Effect of risk perception on epidemic spreading in temporal networks
(American Chemical Society (ACS), 2018-01-31)
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Many progresses in the understanding of epidemic spreading models have been obtained thanks to numerous modeling efforts and analytical and numerical studies, considering host populations with very different structures and ...
The localization of non-backtracking centrality in networks and its physical consequences
(Nature, 2020-12-10)
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The spectrum of the non-backtracking matrix plays a crucial role in determining various structural and dynamical properties of networked systems, ranging from the threshold in bond percolation and non-recurrent epidemic ...