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

被引：0

作者：

Dayue Chen

Fuxi Zhang

机构：

[1] Peking University,LMAM, School of Mathematical Sciences

来源：

Acta Mathematica Sinica, English Series | 2007年 / 23卷

关键词：

random walk; percolation; speed; monotonicity; tree; 60K37; 60J10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The authors consider the simple random walk on the in.nite cluster of the Bernoulli bond percolation of trees, and investigate the relation between the speed of the simple random walk and the retaining probability p by studying three classes of trees. A sufficient condition is established for Galton–Watson trees.

引用

页码：1949 / 1954

页数：5

共 50 条

[1] On the monotonicity of the speed of random walks on a percolation cluster of trees
Da Yue Chen
Fu Xi Zhang
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (11) : 1949 - 1954
[2] On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees
Da Yue CHEN Fu Xi ZHANG LMAM
ActaMathematicaSinica(EnglishSeries), 2007, 23 (11) : 1949 - 1954
[3] On the speed of random walks on random trees
Konsowa, Mokhtar H.
STATISTICS & PROBABILITY LETTERS, 2009, 79 (20) : 2230 - 2236
[4] RANDOM-WALKS, CAPACITY AND PERCOLATION ON TREES
LYONS, R
ANNALS OF PROBABILITY, 1992, 20 (04) : 2043 - 2088
[5] Monotonicity and regularity of the speed for excited random walks in higher dimensions
Cong-Dan Pham
ELECTRONIC JOURNAL OF PROBABILITY, 2015, 20
[6] THE SPEED OF RANDOM WALKS ON TREES AND ELECTRIC NETWORKS
Konsowa, Mokhtar
Al-Awadhi, Fahimah
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2012, 26 (01) : 105 - 116
[7] On strict monotonicity of the speed for excited random walks in one dimension
Holmes, Mark
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2015, 20 : 1 - 7
[8] Biased random walks on directed trees
Takacs, C
PROBABILITY THEORY AND RELATED FIELDS, 1998, 111 (01) : 123 - 139
[9] Random walks on supercritical percolation clusters
Barlow, MT
ANNALS OF PROBABILITY, 2004, 32 (04) : 3024 - 3084
[10] The fluctuations of the giant cluster for percolation on random split trees
Ojeda, Gabriel Berzunza
Cai, Xing Shi
Holmgren, Cecilia
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2022, 19 (01): : 665 - 700

← 1 2 3 4 5 →