Sourav Chatterjee

Large Deviations for Random Graphs (eBook, PDF)

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

• Format: PDF

Produktbeschreibung

First book-length treatment of large deviations for random graphs, plus a chapter on exponential random graphs

Contains a summary of important results from graph limit theory with complete proofs

Written in a style for beginning graduate students, self-contained with essentially no need for background knowledge other than some amount of graduate probability and analysis

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 170
• Erscheinungstermin: 31. August 2017
• Englisch
• ISBN-13: 9783319658162
• Artikelnr.: 53063363

Inhaltsangabe

1. Introduction.- 2. Preparation.- 3. Basics of graph limit theory.- 4. Large deviation preliminaries.- 5. Large deviations for dense random graphs.- 6. Applications of dense graph large deviations.- 7. Exponential random graph models.- 8. Large deviations for sparse graphs.- Index.

Rezensionen

"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)