Derivative of self-intersection local time for the sub-bifractional Brownian motion

Let $ S^{H, K} = \{S^{H, K}_t, t\geq 0\} $ be the sub-bifractional Brownian motion (sbfBm) of dimension 1, with indices $ H\in (0, 1) $ and $ K\in (0, 1]. $ We mainly consider the existence of the self-intersection local time and its derivative for the sbfBm. Moreover, we prove its derivative is H$...

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Bibliographic Details
Main Authors: Nenghui Kuang, Huantian Xie
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022573?viewType=HTML