English

Derivatives of local times for some Gaussian fields II

Probability 2020-10-23 v1

Abstract

Given a (2,d)(2,d)-Gaussian field Z={Z(t,s)=XtH1X~sH2,s,t0}, Z=\big\{ Z(t,s)= X^{H_1}_t -\tilde{X}^{H_2}_s, s,t \ge 0\big\}, where XH1X^{H_1} and X~H2\tilde{X}^{H_2} are independent dd-dimensional centered Gaussian processes satisfying certain properties, we will give the necessary condition for existence of derivatives of the local time of ZZ.

Keywords

Cite

@article{arxiv.2010.11626,
  title  = {Derivatives of local times for some Gaussian fields II},
  author = {Minhao Hong and Fangjun Xu},
  journal= {arXiv preprint arXiv:2010.11626},
  year   = {2020}
}