English

Large Deviations of continuous Gaussian processes: from small noise to small time

Probability 2023-01-11 v3

Abstract

We investigate the Large Deviation behavior in small time of continuous Gaussian processes. We introduce a general procedure allowing to derive Large Deviation Principles in small time starting from the well understood context of Large Deviation Principles with a small parameter, going beyond the self-similar case. Several motivating examples are also treated.

Keywords

Cite

@article{arxiv.2207.12037,
  title  = {Large Deviations of continuous Gaussian processes: from small noise to small time},
  author = {Paolo Baldi and Barbara Pacchiarotti},
  journal= {arXiv preprint arXiv:2207.12037},
  year   = {2023}
}
R2 v1 2026-06-25T01:11:49.482Z