Large Deviations for Random Graphs : Ecole d'Ete de Probabilites de Saint-Flour XLV - 2015
1st ed. 2017
Book Details
Format
Paperback / Softback
Book Series
Lecture Notes in Mathematics
ISBN-10
3319658158
ISBN-13
9783319658155
Edition
1st ed. 2017
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
Sep 2nd, 2017
Print length
170 Pages
Weight
310 grams
Dimensions
15.90 x 24.00 x 1.20 cms
Ksh 12,600.00
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This book addresses the emerging body of literature on the study of rare events in random graphs and networks.
This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a random graph look like if by chance it has far more triangles than expected? Until recently, probability theory offered no tools to help answer such questions. Important advances have been made in the last few years, employing tools from the newly developed theory of graph limits. This work represents the first book-length treatment of this area, while also exploring the related area of exponential random graphs. All required results from analysis, combinatorics, graph theory and classical large deviations theory are developed from scratch, making the text self-contained and doing away with the need to look up external references. Further, the book is written in a format and style that are accessible for beginning graduate students in mathematics and statistics.
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