Synopsis
This Element describes a generalisation of percolation to multilayer networks: weak multiplex percolation.
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Weak Multiplex Percolation (Elements in the Structure and Dynamics of Complex Networks)
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Cambridge University Press, 2022
ISBN 10: 1108791077
ISBN 13: 9781108791076
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Weak Multiplex Percolation (Paperback)
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Cambridge University Press, Cambridge, 2022
ISBN 10: 1108791077
ISBN 13: 9781108791076
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Paperback. Condition: 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. Seller Inventory # 9781108791076
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Weak Multiplex Percolation
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ISBN 10: 1108791077
ISBN 13: 9781108791076
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Weak Multiplex Percolation (Elements in the Structure and Dynamics of Complex Networks)
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Weak Multiplex Percolation
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Weak Multiplex Percolation (Elements in the Structure and Dynamics of Complex Networks)
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Weak Multiplex Percolation
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Weak Multiplex Percolation (Elements in the Structure and Dynamics of Complex Networks)
Published by
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)
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Cambridge University Press, 2022
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ISBN 13: 9781108791076
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Weak Multiplex Percolation (Paperback)
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Cambridge University Press, Cambridge, 2022
ISBN 10: 1108791077
ISBN 13: 9781108791076
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Paperback
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Paperback. Condition: 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. Seller Inventory # 9781108791076