特殊情形的两指标广义布朗单截口常返性集的稠密性  

Density Properties for the Sections of Two-parameter Generalized Brownian Sheet in a Special Case

作　　者：朱能辉[1] 

机构地区：[1]福建师范大学协和学院,福建福州350108

出　　处：《太原师范学院学报（自然科学版）》2009年第3期1-5,9,共6页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：讨论两指标d维广义布朗单={(x,t),s,t≥0}的截口常返性集的稠密性,证明了当2<d≤4时,在满足条件(C)下,几乎必然地有,Ld∶=∩∩ε>0n≥1{s>0∶■t≥n,使得W^(s,t)∈Bε}在R+中处处稠密.Density properties for the sections of d-dimensional two-parameter Generalized Brownian sheet ～↑W={～↑W（x,t）,s,t≥0} is discussed. It is proved that in the cases 2〈d≤4,with probability one,Ld：=∩↑g〉0∩↑n≥1{s〉0∶ t≥n,such that ～↑W（s,t）∈Bε} is everywhere dense,if ～↑W satisfies Condition（C）.

关 键 词：布朗单 广义布朗单 截口常返性 稠密性 

分 类 号：O211.6[理学—概率论与数理统计]