On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees

被引：0
作者：
Da Yue CHEN Fu Xi ZHANG LMAM
机构：
来源：
ActaMathematicaSinica(EnglishSeries) | 2007年 / 23卷 / 11期
关键词：
random walk; percolation; speed; monotonicity; tree;
D O I：
暂无
中图分类号：
O211.6 [随机过程];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The authors consider the simple random walk on the infinite cluster of the Bernoulli bondpercolation of trees,and investigate the relation between the speed of the simple random walk andthe retaining probability p by studying three classes of trees.A sufficient condition is established forGalton-Watson trees.
引用
收藏
页码：1949 / 1954
页数：6
相关论文
共 50 条
  • [31] The access time of random walks on trees with given partition
    Feng, Lihua
    Liu, Weijun
    Lu, Lu
    Wang, Wei
    Yu, Guihai
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 427
  • [32] Random walks on trees and an inequality of means
    Takacs, C
    Takacs, R
    JOURNAL OF THEORETICAL PROBABILITY, 1998, 11 (03) : 701 - 714
  • [33] Commute Times of random Walks on Trees
    Konsowa, Mokhtar
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 1463 - 1466
  • [34] Commute times of random walks on trees
    Konsowa, Mokhtar
    Al-Awadhi, Fahimah
    Telcs, Andras
    DISCRETE APPLIED MATHEMATICS, 2013, 161 (7-8) : 1014 - 1021
  • [35] Random Walks on Trees and an Inequality of Means
    Christiane Takacs
    Roland Takacs
    Journal of Theoretical Probability, 1998, 11 : 701 - 714
  • [36] BRANCHING RANDOM-WALKS ON TREES
    MADRAS, N
    SCHINAZI, R
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1992, 42 (02) : 255 - 267
  • [37] The speed of biased random walk on percolation clusters
    Berger, N
    Gantert, N
    Peres, Y
    PROBABILITY THEORY AND RELATED FIELDS, 2003, 126 (02) : 221 - 242
  • [38] Random walks in IID random environment on Cayley trees
    Athreya, Siva
    Bandyopadhyay, Antar
    Dasgupta, Amites
    STATISTICS & PROBABILITY LETTERS, 2014, 92 : 39 - 44
  • [39] SLLN and annealed CLT for random walks in IID random environment on Cayley trees
    Athreya, Siva
    Bandyopadhyay, Antar
    Dasgupta, Amites
    Sahasrabudhe, Neeraja
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2022, 146 : 80 - 97
  • [40] The monotonicity of the probability of return into the source in models of branching random walks
    Yarovaya E.B.
    Moscow University Mathematics Bulletin, 2010, 65 (2) : 78 - 80
12345