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Probability on trees and networks

  • 作者: Lyons, Russell, author.
  • 其他作者:
  • 其他題名:
    • Cambridge series on statistical and probabilistic mathematics ;
  • 出版: New York : Cambridge University Press
  • 叢書名: Cambridge series in statistical and probabilistic mathematics ;42
  • 主題: Stochastic processes. , Trees (Graph theory)
  • ISBN: 9781316672815 (electronic bk.) 、 9781107160156 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 摘要註: Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.
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  • 系統號: 005458658 | 機讀編目格式
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