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多参数双分数布朗运动相遇局部时的存在性和联合连续性 被引量:2

EXISTENCE AND JOINT CONTINUITY FOR THE COLLISION LOCAL TIME OF MULTIPARAMETER BIFRACTIONAL BROWNIAN MOTION
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摘要 本文研究了两个相互独立的(N,d)双分数布朗运动BH1,K1和BH2,K2的相遇局部时的问题.利用Fourier分析,获得了相遇局部时的存在性和联合连续性的结果,推广了分数布朗运动相遇局部时的相关结果. In this paper,we study the collision local time of two independent(N,d)-bifractional Brownian motions BH1,K1 and BH2,K2.Using the Fourier analysis,existence and joint continuity for the collision local time are obtained.The problem of the collision local time of fractional Brownian motion is generalized.
出处 《数学杂志》 CSCD 北大核心 2015年第6期1411-1423,共13页 Journal of Mathematics
基金 国家自然科学基金(11271020) 安徽省哲学社会科学规划项目(AHSK11-12D128) 安徽省自然科学基金(1208085MA11) 安徽省教育厅重大项目(KJ2012ZD01) 安徽省教育厅重点项目(KJ2011A139)
关键词 双分数布朗运动 相遇局部时 强局部Φ-非确定性 联合连续性 bifractional Brownian motion collision local time strong local Φnondeterminsm joint continuity
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