Higher-order Networks: An Introduction to Simplicial Complexes

Ginestra Bianconi

ISBN 10: 1108726739 / ISBN 13: 9781108726733

Verlag: Cambridge University Press, 2021

Beschreibung

75 pages. 9.00x6.00x0.32 inches. In Stock. This item is printed on demand.

Bestandsnummer des Verkäufers __1108726739

Bibliografische Details

• Titel: Higher-order Networks: An Introduction to Simplicial Complexes
• Verlag: Cambridge University Press
• Erscheinungsjahr: 2021
• Sprache: Englisch
• ISBN-10: 1108726739
• ISBN-13: 9781108726733
• Einband: Paperback
• Zustand: Brand New

Über diesen Titel

Inhaltsangabe

Higher-order networks describe the many-body interactions of a large variety of complex systems, ranging from the the brain to collaboration networks. Simplicial complexes are generalized network structures which allow us to capture the combinatorial properties, the topology and the geometry of higher-order networks. Having been used extensively in quantum gravity to describe discrete or discretized space-time, simplicial complexes have only recently started becoming the representation of choice for capturing the underlying network topology and geometry of complex systems. This Element provides an in-depth introduction to the very hot topic of network theory, covering a wide range of subjects ranging from emergent hyperbolic geometry and topological data analysis to higher-order dynamics. This Elements aims to demonstrate that simplicial complexes provide a very general mathematical framework to reveal how higher-order dynamics depends on simplicial network topology and geometry.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También 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, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.