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Random Graphs, Phase Transitions, and the Gaussian Free Field
Language: en
Pages: 421
Authors: Martin T. Barlow
Categories: Mathematics
Type: BOOK - Published: 2019-12-03 - Publisher: Springer Nature

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The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the Mathematical Sciences (PIMS) at the University of British Columbia in V
An Introduction to Random Interlacements
Language: en
Pages: 124
Authors: Alexander Drewitz
Categories: Mathematics
Type: BOOK - Published: 2014-05-06 - Publisher: Springer

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This book gives a self-contained introduction to the theory of random interlacements. The intended reader of the book is a graduate student with a background in
Introduction to Random Graphs
Language: en
Pages: 483
Authors: Alan Frieze
Categories: Mathematics
Type: BOOK - Published: 2016 - Publisher: Cambridge University Press

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The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.
The Component Structure of Random Graphs - Phase Transitions in Random Graphs and Random Graph Processes
Language: en
Pages: 136
Authors: Taral Guldahl Seierstad
Categories: Computers
Type: BOOK - Published: 2007-12-01 - Publisher:

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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