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Coarse Geometry and Randomness
Language: en
Pages: 133
Authors: Itai Benjamini
Categories: Mathematics
Type: BOOK - Published: 2013-12-02 - Publisher: Springer

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These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric concepts, before
Coarse Geometry and Randomness
Language: en
Pages: 142
Authors: Itai Benjamini
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Type: BOOK - Published: 2013-12-31 - Publisher:

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The Geometry of Random Fields
Language: en
Pages: 295
Authors: Robert J. Adler
Categories: Mathematics
Type: BOOK - Published: 2010-01-28 - Publisher: SIAM

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An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random
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.
Planar Maps, Random Walks and Circle Packing
Language: en
Pages: 120
Authors: Asaf Nachmias
Categories: Mathematics
Type: BOOK - Published: 2019-10-04 - Publisher: Springer Nature

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This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric