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Sweeping Processes Perturbed by Rough Signals

Probability 2025-02-25 v6

Abstract

This paper deals with the existence, the uniqueness and an approximation scheme of the solution to sweeping processes perturbed by a continuous signal of finite pp-variation with p[1,3[p\in [1,3[. It covers pathwise stochastic noises directed by a fractional Brownian motion of Hurst parameter greater than 1/31/3.

Keywords

Cite

@article{arxiv.1702.06495,
  title  = {Sweeping Processes Perturbed by Rough Signals},
  author = {Charles Castaing and Nicolas Marie and Paul Raynaud De Fitte},
  journal= {arXiv preprint arXiv:1702.06495},
  year   = {2025}
}

Comments

27 pages

R2 v1 2026-06-22T18:24:25.306Z