Name: Weak Multiplex Percolation (Elements in Structure and Dynamics of Complex Networks) (en Inglés)
Price: 33490.00 CLP
Availability: InStock
Author: Baxter, Gareth J. ; Da Costa, Rui A. ; Dorogovtsev, Sergey N.
ISBN: 9781108791076

portada Weak Multiplex Percolation (Elements in Structure and Dynamics of Complex Networks) (en Inglés)

Formato

Libro Físico

Autor

Gareth J. Baxter

Rui A. Da Costa

Sergey N. Dorogovtsev

Editorial

Cambridge University Press

Año

2022

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

22.9 x 15.2 x 0.3 cm

Peso

0.08 kg.

ISBN13

9781108791076

Categorías

Física matemática

Weak Multiplex Percolation (Elements in Structure and Dynamics of Complex Networks) (en Inglés)

Gareth J. Baxter (Autor) · Rui A. Da Costa (Autor) · Sergey N. Dorogovtsev (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Weak Multiplex Percolation (Elements in Structure and Dynamics of Complex Networks) (en Inglés)"

In many systems consisting of interacting subsystems, the complex interactions between elements can be represented using multilayer networks. However percolation, key to understanding connectivity and robustness, is not trivially generalised to multiple layers. This Element describes a generalisation of percolation to multilayer networks: weak multiplex percolation. A node belongs to a connected component if at least one of its neighbours in each layer is in this component. The authors fully describe the critical phenomena of this process. In two layers with finite second moments of the degree distributions the authors observe an unusual continuous transition with quadratic growth above the threshold. When the second moments diverge, the singularity is determined by the asymptotics of the degree distributions, creating a rich set of critical behaviours. In three or more layers the authors find a discontinuous hybrid transition which persists even in highly heterogeneous degree distributions, becoming continuous only when the powerlaw exponent reaches $1+1/(M-1)$ for $M$ layers.