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Large Deviations for Random Graphs
Language: en
Pages: 175
Authors: Sourav Chatterjee
Categories: Mathematics
Type: BOOK - Published: 2017-08-31 - Publisher: Springer

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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 i
Random Graph Dynamics
Language: en
Pages: 203
Authors: Rick Durrett
Categories: Mathematics
Type: BOOK - Published: 2010-05-31 - Publisher: Cambridge University Press

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The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation
Random Graphs and Complex Networks
Language: en
Pages: 341
Authors: Remco van der Hofstad
Categories: Computers
Type: BOOK - Published: 2017 - Publisher: Cambridge University Press

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This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.
Probability on Graphs
Language: en
Pages: 279
Authors: Geoffrey Grimmett
Categories: Mathematics
Type: BOOK - Published: 2018-01-25 - Publisher: Cambridge University Press

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This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary rese
Large random matrices
Language: en
Pages: 296
Authors: Alice Guionnet
Categories: Mathematics
Type: BOOK - Published: 2009-03-25 - Publisher: Springer Science & Business Media

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These lectures emphasize the relation between the problem of enumerating complicated graphs and the related large deviations questions. Such questions are close