Name: Planar Maps, Random Walks and Circle Packing (en Inglés)
Price: 53530.00 CLP
Availability: InStock
Author: Nachmias, Asaf
ISBN: 9781013271120

portada Planar Maps, Random Walks and Circle Packing (en Inglés)

Formato

Libro Físico

Autor

Asaf Nachmias

Editorial

Saint Philip Street Press

Idioma

Inglés

N° páginas

124

Encuadernación

Tapa Blanda

Dimensiones

27.9 x 21.6 x 0.7 cm

Peso

0.30 kg.

ISBN13

9781013271120

Categorías

Geometría

Planar Maps, Random Walks and Circle Packing (en Inglés)

Asaf Nachmias (Autor) · Saint Philip Street Press · Tapa Blanda

Libro Físico

$ 53.530

$ 89.210

Ahorras: $ 35.680

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Envío normal

Origen: Estados Unidos (Costos de importación incluídos en el precio)

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Reseña del libro "Planar Maps, Random Walks and Circle Packing (en Inglés)"

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 networks, the He-Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to present a self-contained proof that the uniform infinite planar triangulation (UIPT) is almost surely recurrent. Full proofs of all statements are provided. A planar map is a graph that can be drawn in the plane without crossing edges, together with a specification of the cyclic ordering of the edges incident to each vertex. One widely applicable method of drawing planar graphs is given by Koebe's circle packing theorem (1936). Various geometric properties of these drawings, such as existence of accumulation points and bounds on the radii, encode important probabilistic information, such as the recurrence/transience of simple random walks and connectivity of the uniform spanning forest. This deep connection is especially fruitful to the study of random planar maps. The book is aimed at researchers and graduate students in mathematics and is suitable for a single-semester course; only a basic knowledge of graduate level probability theory is assumed. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.