Zur Startseite gehen
0,00 €*
Cover: 9781108791076 | Weak Multiplex Percolation | Gareth J. Baxter (u. a.) | Taschenbuch
Dekorationsartikel gehören nicht zum Leistungsumfang.
Weak Multiplex Percolation
Taschenbuch von Gareth J. Baxter (u. a.)
Sprache: Englisch

27,00 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
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, 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.
Inhaltsverzeichnis
1. Introduction; 2. Weak multiplex percolation; 3. Relation to other percolation models; 4. Critical phenomena with rapidly decaying degree distributions; 5. Critical phenomena with broad degree distributions; 6. Conclusions; References.
Details
Erscheinungsjahr: 2022
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9781108791076
ISBN-10: 1108791077
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Baxter, Gareth J.
Da Costa, Rui A.
Dorogovtsev, Sergey N.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 4 mm
Von/Mit: Gareth J. Baxter (u. a.)
Erscheinungsdatum: 12.01.2022
Gewicht: 0,089 kg
Artikel-ID: 120755993
Inhaltsverzeichnis
1. Introduction; 2. Weak multiplex percolation; 3. Relation to other percolation models; 4. Critical phenomena with rapidly decaying degree distributions; 5. Critical phenomena with broad degree distributions; 6. Conclusions; References.
Details
Erscheinungsjahr: 2022
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9781108791076
ISBN-10: 1108791077
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Baxter, Gareth J.
Da Costa, Rui A.
Dorogovtsev, Sergey N.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 4 mm
Von/Mit: Gareth J. Baxter (u. a.)
Erscheinungsdatum: 12.01.2022
Gewicht: 0,089 kg
Artikel-ID: 120755993
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9780521711838 | A Radical Approach to Lebesque's Theory of Integration | Bressoud
A Radical Approach to Lebesque's Theory of Integration
EAN: 9780521711838
Sprache: Englisch
Von/Mit: David M. Bressoud

55,50 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9780521007948 | An Introduction to Numerical Analysis | Endre Süli | Taschenbuch
An Introduction to Numerical Analysis
EAN: 9780521007948
Sprache: Englisch
Von/Mit: Endre Süli

74,45 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9782253174905 | Theoreme vivant | Cedric Villani | Taschenbuch | Französisch | 2013
Theoreme vivant
EAN: 9782253174905
Sprache: Französisch
Von/Mit: Cedric Villani

16,95 €*

Lieferzeit 1-2 Werktage

Taschenbuch
Cover: 9783662473009 | Digitale Medien im Mathematikunterricht der Sekundarstufen I + II
Digitale Medien im Mathematikunterricht der Sekundarstufen I + II
EAN: 9783662473009
Sprache: Deutsch
Von/Mit: Andreas Pallack

32,99 €*

Aktuell nicht verfügbar

Buch
Cover: 9781107157651 | Berry Phases in Electronic Structure Theory | David Vanderbilt | Buch
Berry Phases in Electronic Structure Theory
EAN: 9781107157651
Sprache: Englisch
Von/Mit: David Vanderbilt

100,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9780262536578 | Learning with Kernels | Alexander J. Smola | Taschenbuch | Paperback
Learning with Kernels
Support Vector Machines, Regularization, Optimization, and Beyond
EAN: 9780262536578
Sprache: Englisch
Von/Mit: Alexander J. Smola

87,30 €*

Aktuell nicht verfügbar

Buch
Cover: 9780691198309 | Statistics, Data Mining, and Machine Learning in Astronomy | Buch
Statistics, Data Mining, and Machine Learning in Astronomy
A Practical Python Guide for the Analysis of Survey Data, Updated Edition
EAN: 9780691198309
Sprache: Englisch
Von/Mit: Alexander Gray (u. a.)

95,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9789811666438 | Entropy, Divergence, and Majorization in Classical and Quantum...
Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics
EAN: 9789811666438
Sprache: Englisch
Von/Mit: Takahiro Sagawa

64,19 €*

Aktuell nicht verfügbar

Buch
Cover: 9780252725463 | Mathematical Theory of Communication | Claude E. Shannon (u. a.)
Mathematical Theory of Communication
EAN: 9780252725463
Sprache: Englisch
Von/Mit: Claude E. Shannon (u. a.)

69,10 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9783031302671 | Elliptic Integrals and Elliptic Functions | Takashi Takebe | Buch | xi
Elliptic Integrals and Elliptic Functions
EAN: 9783031302671
Sprache: Englisch
Von/Mit: Takashi Takebe

50,20 €*

Lieferzeit 1-2 Werktage

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...