Renormalized self-intersection local time of bifractional Brownian motion

Abstract Let BH,K={BH,K(t),t≥0} $B^{H,K}=\{B^{H,K}(t), t \geq 0\}$ be a d-dimensional bifractional Brownian motion with Hurst parameters H∈(0,1) $H\in (0,1)$ and K∈(0,1] $K\in (0,1]$. Assuming d≥2 $d\geq 2$, we prove that the renormalized self-intersection local time ∫0T∫0tδ(BH,K(t)−BH,K(s))dsdt−E(∫...

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Bibliographic Details
Main Authors: Zhenlong Chen, Liheng Sang, Xiaozhen Hao
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1916-3