Percolation

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Cambridge University Press, 21.09.2006 - 323 Seiten
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, first published in 2006, are twofold. First to present classical results in a way that is accessible to non-specialists. Second, to describe 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.
 

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Inhalt

II
1
III
36
IV
50
V
57
VI
61
VII
63
VIII
67
IX
70
XIX
136
XX
148
XXI
156
XXII
162
XXIII
167
XXIV
175
XXV
178
XXVII
187

X
76
XI
78
XII
80
XIII
90
XIV
104
XV
107
XVI
117
XVII
124
XVIII
129
XXVIII
232
XXIX
240
XXX
241
XXXI
254
XXXII
263
XXXIII
299
XXXIV
319
XXXV
322
Urheberrecht

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Über den Autor (2006)

B la Bollob s is a Senior Research Fellow at Trinity College, Cambridge and is the Jabie Hardin Chair of Excellence in Combinatorics at the University of Memphis. He has held visiting positions from Seattle to Singapore, from Brazil to Zurich. This is his eleventh book.

B la Bollob s is a Senior Research Fellow at Trinity College, Cambridge and is the Jabie Hardin Chair of Excellence in Combinatorics at the University of Memphis. He has held visiting positions from Seattle to Singapore, from Brazil to Zurich. This is his eleventh book.

Oliver Riordan is a Royal Society Research Fellow in the University of Cambridge and Research Fellow of Trinity College, Cambridge. In May 2000 he shared the prize for solving Christopher Monckton Eternity Puzzle.

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