Random Graph Dynamics

Informationen zum Autor Rick Durrett is Professor of Mathematics at Cornell University. He received his Ph.D. in Operations Research from Stanford in 1976. After nine years at UCLA! he moved to Cornell! where his research turned to applications of probability to ecology and! more recently! genetics. He has written more than 150 papers! six other books! and has 33 academic descendants. Klappentext This book uses mathematical arguments to obtain insights into random graphs. Zusammenfassung This book presents a wide-ranging variety of mathematical argument to give insights into the small world model! the preferential attachment model and related random graphs. A unique feature is the focus on the dynamics of process taking place on the graphs in addition to geometric properties such as correctness and diameter. Inhaltsverzeichnis 1. Overview; 2. Erdos-Renyi random graphs; 3. Fixed degree distributions; 4. Power laws; 5. Small worlds; 6. Random walks; 7. CHKNS model.

Product details

• Authors: Rick Durrett, Rick (Duke University Durrett
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.05.2010
• EAN: 9780521150163
• ISBN: 978-0-521-15016-3
• No. of pages: 220
• Series: Cambridge Series in Statistical and Probabilistic Mathematics; Cambridge Series in Statistica; Cambridge Series in Statistical and Probabilistic; Cambridge Series in Statistical and Probabilistic Mathematics; Cambridge Series in Statistical and Probabilistic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous