Dynamics on Graphs

This extensive revision of the 2007 book 'Random Graph Dynamics, ' covering the current state of mathematical research in the field, is ideal for researchers and graduate students. It considers a small number of types of graphs, primarily the configuration model and inhomogeneous random graphs. However, it investigates a wide variety of dynamics. The author describes results for the 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. Chapter 8 discusses a new challenging and largely uncharted direction: systems in which the graph and the states of their vertices coevolve.

Author: Rick Durrett
Binding Type: Hardcover
Publisher: Cambridge University Press
Published: 10/31/2024
Series: Cambridge Statistical and Probabilistic Mathematics #57
Pages: 310
ISBN: 9781009521437
2nd Edition