空间布朗单由蔓延导致的占有测度分析

CORC > 集美大学

	空间布朗单由蔓延导致的占有测度分析
	倪文清
刊名	http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=fjsz200601001&dbcode=CJFQ&dbname=CJFQ2006
	2012-06-05 ; 2012-06-05
关键词	布朗单占有测度局部蔓延 Hausdorff维数 Brownian sheet occupation measure local lpropagation Hausdorff dimension O211.6
其他题名	Analysis on Occupation Measure of Spatial Brownian Sheet Which Come from Local Propagation on Line
中文摘要	设{Ws,t}是一取值于Rd(d≥3)的布朗单,qd表B esse l函数Jd2-2(x)的第一正零点,b是任意正实数.令p0,q0>0,k0=m in{p0,q0},Δb=[p0,p0+b]×[q0,q0+b],用μΔWb.,.(B(x,ε))表{Ws,t}在指标区间Δb内,在中心为x,半径为ε的球B(x,τ)里由直线上局部蔓延导致的占有测度.对任给a∈(0,4k0q2d),则使得lim supε→0μWΔ.,.b(B(Ws,t,ε))4ε(logε5)-1≥a的(s,t)∈Δb点的集合的H ausdorff维数a.s.大于等于2-k0aq2d4.; Suppose that ｛Ws,t｝ is a two-parameter Brownian sheet in Rd（d≥3）,that qd denotes the first positive zero of the Bessel functions Jd2-2（x）,and that b>0,p0,q0>0,k0=min｛p0,q0｝,Δb=[p0,p0+b]×[q0,q0+b].Let μW.,.Δb(B(Ws,t,ε)) denote the occupation measure of spatial Brownian sheet which come from the local propagation of thick points on line in the interval Δb and in the ball B(Ws,t,ε).For any a∈（0,4k0q2d）,it is proved that the Hausdorff dimension of the set consisting of all of（s,t）∈Δb such that （lim sup）ε→0μW.,.Δb(B(Ws,t,ε))ε4（｜log ε｜5）-1≥a is a.s.greater than or equal to 2-k0aq2d4.; 【作者单位】集美大学理学院福建厦门361021；【作者英文名】NI Wen-qing (School of Sciences,Jimei University,Xiamen 361021,China)
语种	中文
内容类型	期刊论文
源URL	[http://ir.calis.edu.cn/hdl/235041/15623]
专题	集美大学
推荐引用方式 GB/T 7714	倪文清. 空间布朗单由蔓延导致的占有测度分析[J]. http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=fjsz200601001&dbcode=CJFQ&dbname=CJFQ2006,2012, 2012.
APA	倪文清.(2012).空间布朗单由蔓延导致的占有测度分析.http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=fjsz200601001&dbcode=CJFQ&dbname=CJFQ2006.
MLA	倪文清."空间布朗单由蔓延导致的占有测度分析".http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=fjsz200601001&dbcode=CJFQ&dbname=CJFQ2006 (2012).