Geoffrey Grimmett

Probability on Graphs - eBook

Average Rating:out of 5 stars
$26.29$26.29
Digital delivery to your
or Kobo eReader
<p>This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm–L&ouml;wner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.</p>

About This Item

We aim to show you accurate product information. Manufacturers, suppliers and others provide what you see here, and we have not verified it.

This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm–Löwner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.

Probability on Graphs - eBook

Specifications

Read This On
Android,Ereader,Desktop,IOS,Windows
Is Downloadable Content Available
Y
Digital Reader Format
Epub (Yes)
Language
en
Series Title
Institute of Mathematical Statistics Textbooks
Publisher
Kobo
Author
Geoffrey Grimmett
ISBN-13
9781139035835
ISBN-10
1139035835

Customer Reviews

Write a review

Be the first to review this item!


Customer Q&A

Get specific details about this product from customers who own it.

Ask a question

If you would like to share feedback with us about pricing, delivery or other customer service issues, please contact customer service directly.

Policies & Plans

Pricing policy

About our prices
We're committed to providing low prices every day, on everything. So if you find a current lower price from an online retailer on an identical, in-stock product, tell us and we'll match it. See more details atOnline Price Match.

webapp branch
Electrode, Comp-0f21c3b6-cf2f-4064-881c-fd5b3854dcc3, DC-scus-prod-a2, ENV-prod-a, PROF-PROD, VER-37.3.0, SHA-b3134fce56061453926ca6f342a65ac5c917ad96, CID-a5038424-007-174a10ac0f28d3, Generated: Fri, 18 Sep 2020 11:47:50 GMT