English

Sojourn time dimensions of fractional Brownian motion

Probability 2018-09-05 v1 Metric Geometry

Abstract

We describe the size of the sets of sojourn times Eγ={t0:Bttγ}E_\gamma =\{t\geq 0: |B_t|\leq t^\gamma\} associated with a fractional Brownian motion BB in terms of various large scale dimensions.

Keywords

Cite

@article{arxiv.1809.00518,
  title  = {Sojourn time dimensions of fractional Brownian motion},
  author = {Ivan Nourdin and Giovanni Peccati and Stéphane Seuret},
  journal= {arXiv preprint arXiv:1809.00518},
  year   = {2018}
}

Comments

16 pages