Dynamics on graphs Richard Durrett

Format:

Book

Author/Creator:

Durrett, Richard, 1951- author.

Series:

Probability theory and stochastic modelling ; v. 110.

Probability theory and stochastic modelling 2199-3149 volume 110

Standardized Title:

Random graph dynamics

Language:

English

Subjects (All):

Random graphs.

Physical Description:

1 online resource

Edition:

Second edition

Place of Publication:

Cham, Switzerland Springer [2026]

Summary:

"This book is an extensive revision of the 2007 book Random Graph Dynamics. In contrast to the first edition, the new version considers a small number of types of graphs, primarily the configuration model and inhomogeneous random graphs, but investigates a wide variety of dynamics. It describes results on convergence to equilibrium for random walks on random graphs as well as topics that have emerged as mature research areas since the publication of the first edition, such as epidemics, the contact process, voter models, and coalescing random walk. Furthermore, Chapter 8 discusses a new, challenging, and largely uncharted direction: systems in which the graph and the states of their vertices coevolve"-- Springer Nature Link

Contents:

Erdos-Rényi random graphs

General degree distributions

Inhomogeneous random graphs

Epidemics

Contact process

Random walks, mixing times

Voter models, coalescing RWs

Coevolving systems

Notes:

1st edition published in 2007 as: Random graph dynamics

Includes bibliographical references and index

Online resource; title from PDF title page (Springer Nature Link, viewed July 1, 2026)

Other Format:

Print version Durrett, Richard, 1951- Dynamics on graphs

ISBN:

9783032219084

3032219086

OCLC:

1601421892

Access Restriction:

Restricted for use by site license