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

Baxter, Gareth J.; Da Costa, Rui A.; Dorogovtsev, Sergey N.; Mendes, Jos� F. F.

ISBN 10: 1108791077 ISBN 13: 9781108791076

Editorial: Cambridge University Press, 2022

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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.

Acerca del autor: Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

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T�tulo: Weak Multiplex Percolation (Elements in the ...
Editorial: Cambridge University Press
A�o de publicaci�n: 2022
Encuadernaci�n: Encuadernaci�n de tapa blanda
Condici�n: New

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Weak Multiplex Percolation

Gareth J. Baxter , Rui A. da Costa , Sergey N. Dorogovtsev , Jos� F. F. Mendes

Publicado por Cambridge University Press, 2022

ISBN 10: 1108791077 ISBN 13: 9781108791076

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

Baxter, Gareth J.; Da Costa, Rui A.; Dorogovtsev, Sergey N.; Mendes, Jos� F. F.

Publicado por Cambridge University Press, 2022

ISBN 10: 1108791077 ISBN 13: 9781108791076

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Baxter, Gareth J.

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Gareth J. Baxter

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ISBN 10: 1108791077 ISBN 13: 9781108791076

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Paperback. Condici�n: new. Paperback. 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. In many systems consisting of interacting subsystems, the complex interactions between elements can be represented using multilayer networks. However, percolation is not trivially generalised to multiple layers. This Element describes a generalisation of percolation to multilayer networks: weak multiplex percolation. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de ref. del art�culo: 9781108791076

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Gareth J. Baxter

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ISBN 10: 1108791077 ISBN 13: 9781108791076

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Weak Multiplex Percolation

Baxter, Gareth J.|Da Costa, Rui A.|Dorogovtsev, Sergey N.

Publicado por Cambridge University Press, 2022

ISBN 10: 1108791077 ISBN 13: 9781108791076

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Condici�n: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In many systems consisting of interacting subsystems, the complex interactions between elements can be represented using multilayer networks. However, percolation is not trivially generalised to multiple layers. This Element describes a generalisation of pe. N� de ref. del art�culo: 523129740

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Weak Multiplex Percolation (Paperback)

Gareth J. Baxter

Publicado por Cambridge University Press, Cambridge, 2022

ISBN 10: 1108791077 ISBN 13: 9781108791076

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Paperback. Condici�n: new. Paperback. 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. In many systems consisting of interacting subsystems, the complex interactions between elements can be represented using multilayer networks. However, percolation is not trivially generalised to multiple layers. This Element describes a generalisation of percolation to multilayer networks: weak multiplex percolation. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N� de ref. del art�culo: 9781108791076

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