Weak Multiplex Percolation by Baxter Gareth (13 results)

Weak Multiplex Percolation (Elements in the Structure and Dynamics of Complex Networks)
Baxter, Gareth J.; Da Costa, Rui A.; Dorogovtsev, Sergey N.; Mendes, José F. F.
Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
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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, José F. F.
Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
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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, José F. F.
Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
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Language: English
Published by Cambridge University Press 2022-01, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
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Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
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Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
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Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 mul…tiple 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.

Weak Multiplex Percolation
Gareth J. Baxter , Rui A. da Costa , Sergey N. Dorogovtsev , Josà F. F. Mendes
Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
- Print on Demand
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Paperback. Condition: Brand New. 75 pages. 9.00x6.00x0.10 inches. In Stock. This item is printed on demand.

Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
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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, José F. F.
Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
- Print on Demand
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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, José F. F.
Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
- Print on Demand
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Language: English
Published by Cambridge University Press, Cambridge, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
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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 gener…alisation 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.

Language: English
Published by Cambridge University Press, 2022
Series: Elements in Structure and Dynamics of Complex Networks, Book 5 of 5. Book 5 of 5 - Elements in Structure and Dynamics of Complex Networks
- Softcover
- Print on Demand
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Condition: 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.