Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a disordered porous medium. It has proved to be a remarkably rich theory, with applications beyond natural phenomena to topics such as network modelling. The aims of this book are twofold. First to present classical results in a way that is accessible to non-specialists. Second, to describe, for the first time in a book, recent results of Smirnov in conformal invariance, and outline the proof that the critical probability for random Voronoi percolation in the plane is 1/2. Throughout, the presentation is streamlined, with elegant and straightforward proofs requiring minimal background in probability and graph theory. Numerous examples illustrate the important concepts and enrich the arguments. All-in-all, it will be an essential purchase for mathematicians, physicists, electrical engineers and computer scientists working in this exciting area.
Produkteigenschaften
- Artikelnummer: 9780521872324
- Medium: Buch
- ISBN: 978-0-521-87232-4
- Verlag: Cambridge University Press
- Erscheinungstermin: 30.04.2013
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2013
- Produktform: Gebunden, HC gerader Rücken kaschiert
- Gewicht: 636 g
- Seiten: 334
- Format (B x H x T): 157 x 235 x 23 mm
- Ausgabetyp: Kein, Unbekannt
Themen
- Mathematik | Informatik
- Mathematik
- Mathematische Analysis
- Elementare Analysis und Allgemeine Begriffe
- Mathematik | Informatik
- Mathematik
- Mathematische Analysis
- Elementare Analysis und Allgemeine Begriffe
- Naturwissenschaften
- Physik
- Physik Allgemein
- Theoretische Physik, Mathematische Physik, Computerphysik
