Dynamics on Graphs
暫譯: 圖上的動態學
Durrett, Richard
- 出版商: Springer
- 出版日期: 2026-06-28
- 售價: $7,340
- 貴賓價: 9.5 折 $6,973
- 語言: 英文
- 頁數: 380
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3032219078
- ISBN-13: 9783032219077
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相關分類:
動力學 Dynamics
海外代購書籍(需單獨結帳)
商品描述
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.
商品描述(中文翻譯)
這本書是2007年書籍《隨機圖動態》的全面修訂版。與第一版相比，新版本考慮了少數幾種類型的圖，主要是配置模型和非均勻隨機圖，但探討了各種不同的動態。它描述了隨機行走在隨機圖上收斂到平衡的結果，以及自第一版出版以來出現的成熟研究領域的主題，例如流行病、接觸過程、選民模型和合併隨機行走。此外，第八章討論了一個新的、具有挑戰性且大多數尚未探索的方向：圖形及其頂點狀態共同演化的系統。
作者簡介
Rick Durrett received his Ph.D. in Operations Research from Stanford University in 1976. After nine years at UCLA, where he worked closely with Tom Liggett, he moved to Cornell to join a probability group with Harry Kesten, Frank Spitzer, and Eugene Dynkin. Twenty-five years and two children later, he moved to Duke, where he was a James B. Duke Professor of Mathematics until he retired on July 1, 2023. He is the author of eight books and more than 240 journal articles. He was elected a member of the National Academy of Sciences in 2007. During his career he has supervised 51 Ph.D. students, mentored three dozen postdocs, and introduced a large number of undergraduates to mathematical research through one-on-one mentoring and summer research programs.
作者簡介(中文翻譯)
Rick Durrett 於1976年在史丹佛大學獲得運籌學博士學位。在加州大學洛杉磯分校（UCLA）工作了九年期間，他與Tom Liggett密切合作，之後他移至康奈爾大學，加入了由Harry Kesten、Frank Spitzer和Eugene Dynkin組成的機率研究小組。二十五年後，他和兩個孩子一起搬到杜克大學，並擔任詹姆斯·B·杜克數學教授，直到2023年7月1日退休。他是八本書籍和超過240篇期刊文章的作者。2007年，他被選為美國國家科學院院士。在他的職業生涯中，他指導了51位博士生，培養了三十多位博士後研究員，並通過一對一的指導和暑期研究計畫，讓大量本科生接觸數學研究。
