+ Site Statistics
+ Search Articles
+ Subscribe to Site Feeds
Most Shared
PDF Full Text
+ PDF Full Text
Request PDF Full Text
+ Follow Us
Follow on Facebook
Follow on Twitter
Follow on LinkedIn
+ Translate
+ Recently Requested

Emergence of overlap in ensembles of spatial multiplexes and statistical mechanics of spatial interacting network ensembles

Emergence of overlap in ensembles of spatial multiplexes and statistical mechanics of spatial interacting network ensembles

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 89(1): 012806

Spatial networks range from the brain networks, to transportation networks and infrastructures. Recently interacting and multiplex networks are attracting great attention because their dynamics and robustness cannot be understood without treating at the same time several networks. Here we present maximal entropy ensembles of spatial multiplex and spatial interacting networks that can be used in order to model spatial multilayer network structures and to build null models of real data sets. We show that spatial multiplexes naturally develop a significant overlap of the links, a noticeable property of many multiplexes that can affect significantly the dynamics taking place on them. Additionally, we characterize ensembles of spatial interacting networks and we analyze the structure of interacting airport and railway networks in India, showing the effect of space in determining the link probability.

(PDF emailed within 0-6 h: $19.90)

Accession: 052941878

Download citation: RISBibTeXText

PMID: 24580280

DOI: 10.1103/PhysRevE.89.012806

Related references

Entropy of spatial network ensembles. Physical Review. E 97(4-1): 042319, 2018

Dynamical Ensembles in Nonequilibrium Statistical Mechanics. Physical Review Letters 74(14): 2694-2697, 1995

Constant pressure ensembles in statistical mechanics. Molecular Physics 1(1): 68-82, 1958

Dynamical ensembles in nonequilibrium statistical mechanics and their representations. Chaos 8(2): 374-383, 2003

Comparisons of Protein Dynamics from Experimental Structure Ensembles, Molecular Dynamics Ensembles, and Coarse-Grained Elastic Network Models. Journal of Physical Chemistry. B 122(21): 5409-5417, 2018

Interdependence of the volume and stress ensembles and equipartition in statistical mechanics of granular systems. Physical Review Letters 109(23): 238001, 2013

Ensembles, Dynamics, and Cell Types: Revisiting the Statistical Mechanics Perspective on Cellular Regulation. Journal of Theoretical Biology 2019, 2019

Applications of group-theoretical statistical mechanics: Interaction of electromagnetic fields with molecular ensembles. Physical Review. A, Atomic, Molecular, and Optical Physics 41(9): 4601-4607, 1990

Synchronizability of network ensembles with prescribed statistical properties. Chaos 18(1): 013120, 2008

Nonequilibrium statistical mechanics of mixed quantum classical ensembles: application to noncontact atomic force microscopy. Physical Review Letters 89(9): 096105, 2002

Discordance within ensembles of CA1 and CA3 cells in coding for spatial relationships. Society for Neuroscience Abstracts 22(1-3): 430, 1996

Discordance of spatial representation in ensembles of hippocampal place cells. Hippocampus 7(6): 613-623, 1997

Encoding of Spatial Attention by Primate Prefrontal Cortex Neuronal Ensembles. Eneuro 5(1), 2018

Spatial organization of the functional mosaic of neuronal ensembles in the cerebral cortex. Doklady Akademii Nauk SSSR 206(6): 1478-1481, 1972

Ensembles of adaptive spatial filters increase BCI performance: an online evaluation. Journal of Neural Engineering 13(4): 046003, 2017