Large Deviations for Random Graphs

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

Nonfiction, Science & Nature, Mathematics, Combinatorics, Statistics
Cover of the book Large Deviations for Random Graphs by Sourav Chatterjee, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Sourav Chatterjee ISBN: 9783319658162
Publisher: Springer International Publishing Publication: August 31, 2017
Imprint: Springer Language: English
Author: Sourav Chatterjee
ISBN: 9783319658162
Publisher: Springer International Publishing
Publication: August 31, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Q’eqchi’ Maya Reproductive Ethnomedicine by Sourav Chatterjee
Cover of the book The Consequences of American Nuclear Disarmament by Sourav Chatterjee
Cover of the book An Introduction to Thermodynamics and Statistical Physics by Sourav Chatterjee
Cover of the book Proceedings of the International Conference on Advanced Intelligent Systems and Informatics 2016 by Sourav Chatterjee
Cover of the book Middle Classes in Africa by Sourav Chatterjee
Cover of the book MultiMedia Modeling by Sourav Chatterjee
Cover of the book Handbook of Distributed Generation by Sourav Chatterjee
Cover of the book Sociology through Relation by Sourav Chatterjee
Cover of the book Water Resources of Jordan by Sourav Chatterjee
Cover of the book Materials and Processes by Sourav Chatterjee
Cover of the book Tests and Proofs by Sourav Chatterjee
Cover of the book Stochastic Dynamics and Energetics of Biomolecular Systems by Sourav Chatterjee
Cover of the book Network Coding at Different Layers in Wireless Networks by Sourav Chatterjee
Cover of the book Paul J. Crutzen: A Pioneer on Atmospheric Chemistry and Climate Change in the Anthropocene by Sourav Chatterjee
Cover of the book Search-Based Software Engineering by Sourav Chatterjee
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy