Self-intersection local times and collision local times of bifractional Brownian motions

被引:0
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作者
YiMing Jiang
YongJin Wang
机构
[1] Nankai University,School of Mathematical Sciences and The Key Laboratory of Pure Mathematies and Combinatories, Ministry of Education
来源
关键词
bifractional Brownian motion; self-intersection local time; collision local time; strong local nondeterminism; 60G15; 60G18; 60J55;
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学科分类号
摘要
In this paper, we consider the local time and the self-intersection local time for a bifractional Brownian motion, and the collision local time for two independent bifractional Brownian motions. We mainly prove the existence and smoothness of the self-intersection local time and the collision local time, through the strong local nondeterminism of bifractional Brownian motion, L2 convergence and Chaos expansion.
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收藏
页码:1905 / 1919
页数:14
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