Collision local times of two independent fractional Brownian motions

Xiangjun WANG, Jingjun GUO, Guo JIANG

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PDF(198 KB)
Front. Math. China ›› 2011, Vol. 6 ›› Issue (2) : 325-338. DOI: 10.1007/s11464-011-0095-z
RESEARCH ARTICLE
RESEARCH ARTICLE

Collision local times of two independent fractional Brownian motions

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Abstract

In this paper, the collision local times for two independent fractional Brownian motions are considered as generalized white noise functionals. Moreover, the collision local times exist in L2 under mild conditions and chaos expansions are also given.

Keywords

Fractional Brownian motion / collision local time / white noise functional

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Xiangjun WANG, Jingjun GUO, Guo JIANG. Collision local times of two independent fractional Brownian motions. Front Math Chin, 2011, 6(2): 325‒338 https://doi.org/10.1007/s11464-011-0095-z

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