Planar Maps, Random Walks and Circle Packing

École d'Été de Probabilités de Saint-Flour XLVIII - 2018

AvAsaf Nachmias

Häftad, Engelska, 2019

Del 2243 i serien Lecture Notes in Mathematics

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Häftad

526 kr

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594 kr

Beskrivning

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

Produktinformation

Utgivningsdatum:2019-10-05
Mått:155 x 235 x 8 mm
Vikt:213 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:120
Förlag:Springer Nature Switzerland AG
ISBN:9783030279677

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Recensioner i media

“The most remarkable aspect of the Lecture Notes is the reader-friendly structure and the style in which it has been written. There are masses of examples either worked out in the text or left for the reader. A number of facts are equipped with graphical illustrations. The importance of this Lecture Notes by the author both from the practical and from the theoretical standpoint is unquestionable.” (Viktor Ohanyan, zbMATH 1471.60007, 2021)“The whole material is very nicely presented and the book may serve as the support for a graduate course in probability.” (Nicolas Curien, Mathematical Reviews, November, 2020)

Innehållsförteckning

- Introduction. - Random Walks and Electric Networks. - The Circle Packing Theorem. - Parabolic and Hyperbolic Packings. - Planar Local Graph Limits. - Recurrence of Random Planar Maps. - Uniform Spanning Trees of Planar Graphs. - Related Topics.