Large Deviations for Random Graphs: École d'Été de Probabilités de Saint-Flour XLV - 2015

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Sourav Chatterjee

Large Deviations for Random Graphs

École d'Été de Probabilités de Saint-Flour XLV - 2015

Sourav Chatterjee

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English

Springer International Publishing AG
02 September 2017

Probability & statistics; Combinatorics & graph theory

Series: Lecture Notes in Mathematics

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.

By: Sourav Chatterjee
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 1st ed. 2017
Volume: 2197
Dimensions: Height: 235mm, Width: 155mm,
Weight: 2.876kg
ISBN: 9783319658155
ISBN 10: 3319658158
Series: Lecture Notes in Mathematics
Pages: 170
Publication Date: 02 September 2017
Audience: College/higher education , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Reviews for Large Deviations for Random Graphs: École d'Été de Probabilités de Saint-Flour XLV - 2015

This nice book is recommended to all probabilists who wish to study the beautiful theory of large deviations for random graphs. (Zakhar Kabluchko, Mathematical Reviews, April, 2018)