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AN INTERSECTION PROPERTY OF THE SIMPLE RANDOM WALKS IN Z^d

AN INTERSECTION PROPERTY OF THE SIMPLE RANDOM WALKS IN Z ̄d
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摘要 Let be the simple random walk in zd, and SupPers f(n) is an integer-valued function and increases to infinity as n tends to infinity, and In this paper,a necessary and sufficient condition to ensure or 1 is derived for d=3,4. This problem was first studied by P. Erdos and S.J. Taylor. Let be the simple random walk in zd, and SupPers f(n) is an integer-valued function and increases to infinity as n tends to infinity, and In this paper,a necessary and sufficient condition to ensure or 1 is derived for d=3,4. This problem was first studied by P. Erdos and S.J. Taylor.
作者 周先银
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1996年第2期155-168,共14页 应用数学学报(英文版)
关键词 Effective resistance simple random walk INTERSECTION Effective resistance,simple random walk, intersection
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