Large Deviations for Random Graphs
Sourav Chatterjee
Broschiertes Buch

Large Deviations for Random Graphs

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

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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, combinatori...