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The first exit time of fractional Brownian motion from a parabolic domain

Probability 2020-02-11 v1

Abstract

We study the first exit time of a multi-dimensional fractional Brownian motion from unbounded domains. In particular, we are interested in the upper tail of the corresponding distribution when the domain is parabola-shaped.

Keywords

Cite

@article{arxiv.1808.09731,
  title  = {The first exit time of fractional Brownian motion from a parabolic domain},
  author = {Frank Aurzada and Mikhail Lifshits},
  journal= {arXiv preprint arXiv:1808.09731},
  year   = {2020}
}

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11pages