Peeling Random Planar Maps : Ecole d'Ete de Probabilites de Saint-Flour XLIX - 2019 - Nicolas Curien

Instant online reading.
Don't wait for delivery!
Go digital and save!

Peeling Random Planar Maps

Ecole d'Ete de Probabilites de Saint-Flour XLIX - 2019

By: Nicolas Curien

Write A Review

Paperback | 21 January 2023

At a Glance

Paperback
286 Pages

Dimensions(cm)
23.5 x 15.5

Paperback

$161.99

or 4 interest-free payments of $40.50 with

or

Ships in 10 to 15 business days

These Lecture Notes provide an introduction to the study of those discrete surfaces which are obtained by randomly gluing polygons along their sides in a plane. The focus is on the geometry of such random planar maps (diameter, volume growth, scaling and local limits...) as well as the behavior of statistical mechanics models on them (percolation, simple random walks, self-avoiding random walks...).

A "Markovian" approach is adopted to explore these random discrete surfaces, which is then related to the analogous one-dimensional random walk processes. This technique, known as "peeling exploration" in the literature, can be seen as a generalization of the well-known coding processes for random trees (e.g. breadth first or depth first search). It is revealed that different types of Markovian explorations can yield different types of information about a surface.

Based on an Ecole d'Ete de Probabilites de Saint-Flour course delivered by the author in 2019, the book is aimed at PhD students and researchers interested in graph theory, combinatorial probability and geometry. Featuring open problems and a wealth of interesting figures, it is the first book to be published on the theory of random planar maps.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.