Branching random walks[electronic re...
Shi, Zhan.

 

  • Branching random walks[electronic resource] :Ecole d'Ete de Probabilites de Saint-Flour XLII - 2012 /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 519.282
    書名/作者: Branching random walks : Ecole d'Ete de Probabilites de Saint-Flour XLII - 2012 // by Zhan Shi.
    作者: Shi, Zhan.
    出版者: Cham : : Springer International Publishing :, 2015.
    面頁冊數: x, 133 p. : : ill. (some col.), digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Random walks (Mathematics)
    標題: Branching processes - Congresses.
    標題: Mathematics.
    標題: Probability Theory and Stochastic Processes.
    ISBN: 9783319253725
    ISBN: 9783319253718
    內容註: I Introduction -- II Galton–Watson trees -- III Branching random walks and martingales -- IV The spinal decomposition theorem -- V Applications of the spinal decomposition theorem -- VI Branching random walks with selection -- VII Biased random walks on Galton–Watson trees -- A Sums of i.i.d. random variables -- References.
    摘要、提要註: Providing an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties of one-dimensional discrete-time supercritical branching random walks, and in particular, on extreme positions in each generation, as well as the evolution of these positions over time. Starting with the simple case of Galton-Watson trees, the text primarily concentrates on exploiting, in various contexts, the spinal structure of branching random walks. The notes end with some applications to biased random walks on trees.
    電子資源: http://dx.doi.org/10.1007/978-3-319-25372-5
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