SETS AVOIDED BY BROWNIAN MOTION

SETS AVOIDED BY BROWNIAN MOTION
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布朗运动避免的集合

DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
Robin Pemantle
Robin Pemantle
中科院分区：
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文献类型：
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作者：
O. Adelman;K. Burdzy;Robin Pemantle

文献摘要

被引文献

相似文献

一个三维布朗运动的固定二维投影几乎必然是邻域递归的;这是否对所有概率为1的二维投影同时成立？等价性：三维布朗运动以概率1击中任何无限圆柱体;它击中所有圆柱体吗？这篇论文表明，答案是否定的。三维布朗运动避免了随机的圆柱体，实际上避免了几乎和圆锥体一样快增长的旋转体。
A fixed two-dimensional projection of a three-dimensional Brownian motion is almost surely neighborhood recurrent; is this simultaneously true of all the two-dimensional projections with probability 1? Equivalently: three-dimensional Brownian motion hits any infinite cylinder with probability 1; does it hit all cylinders? This papers shows that the answer is no. Brownian motion in three dimensions avoids random cylinders and in fact avoids bodies of revolution that grow almost as fast as cones.