Progress in High-Dimensional Percolation and Random Graphs

Language: English

Published by Springer, Palgrave Macmillan Dez 2017, 2017

3319624725 / 9783319624723

Series: Book 1 of 7 - CRM Short Courses

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This item is printed on demand - Print on Demand Titel. Neuware -This text presents an engaging exposition of the active field of high-dimensional percolation that will likely provide an impetus for future work. With over 90 exercises designed to enhance the reader's understanding of the material, as well as many open problems, the book is aimed at graduate students and researchers who wish to enter the world of this rich topic. The text may also be useful in advanced courses and seminars, as well as for reference and individual study.Part I, consisting of 3 chapters, presents a general introduction to percolation, stating the main results, defining the central objects, and proving its main properties. No prior knowledge of percolation is assumed. Part II, consisting of Chapters 4-9, discusses mean-field critical behavior by describing the two main techniques used, namely, differential inequalities and the lace expansion. In Parts I and II, all results are proved, making this the first self-contained text discussing high-dimensional percolation. Part III, consisting of Chapters 10-13, describes recent progress in high-dimensional percolation. Partial proofs and substantial overviews of how the proofs are obtained are given. In many of these results, the lace expansion and differential inequalities or their discrete analogues are central. Part IV, consisting of Chapters 14-16, features related models and further open problems, with a focus on the big picture.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 300 pp. Englisch.

Seller Inventory # 9783319624723

Title
Progress in High-Dimensional Percolation and Random Graphs
Author
Markus Heydenreich
Publisher
Springer, Palgrave Macmillan Dez 2017
Publication year
2017
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3319624725
ISBN 13
9783319624723
Item weight
617 grams
Dimensions
241x160x22 mm
Series
Book 1 of 7: CRM Short Courses

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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AbeBooks seller since January 23, 2017

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