EAN: 9783319658155

LARGE DEVIATIONS FOR RANDOM GRAPHS - SOURAV CHA...

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.

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