Get 40% off select Statistics books or choose from thousands of Archive eBooks at 9.99 each!

École d'Été de Probabilités de Saint-Flour

Large Deviations for Random Graphs

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

Authors: Chatterjee, Sourav

Free Preview
  • 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
see more benefits

Buy this book

eBook 59,49 €
price for Spain (gross)
  • ISBN 978-3-319-65816-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-65815-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book


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.



Reviews

“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)

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 59,49 €
price for Spain (gross)
  • ISBN 978-3-319-65816-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-65815-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Large Deviations for Random Graphs
Book Subtitle
École d'Été de Probabilités de Saint-Flour XLV - 2015
Authors
Series Title
École d'Été de Probabilités de Saint-Flour
Series Volume
2197
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-65816-2
DOI
10.1007/978-3-319-65816-2
Softcover ISBN
978-3-319-65815-5
Series ISSN
0721-5363
Edition Number
1
Number of Pages
XI, 170
Topics