@article{Kuang2022, 
author = {Nenghui Kuang and Huantian Xie},
title = {Derivative of self-intersection local time for the sub-bifractional Brownian motion},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {10286-10302},
keywords = {sub-bifractional Brownian motion, self-intersection local time, derivative of self-intersection local time},
url = {https://www.sciopen.com/article/10.3934/math.2022573},
doi = {10.3934/math.2022573},
abstract = {Let        S          H      ,      K        =  {      S    t          H      ,      K        ,  t  ≥  0  } be the sub-bifractional Brownian motion (sbfBm) of dimension 1, with indices    H  ∈  (  0  ,  1  ) and    K  ∈  (  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             o      ¨      lder continuous in space variable and time variable, respectively.}
}