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Sweeping Processes Perturbed by Rough Signals

Authors :
Castaing , Charles
Marie , Nicolas
Raynaud De Fitte , Paul
Université de Montpellier ( UM )
Modélisation aléatoire de Paris X ( MODAL'X )
Université Paris Nanterre ( UPN )
ESME Sudria [Paris]
Laboratoire de Mathématiques Raphaël Salem ( LMRS )
Université de Rouen Normandie ( UNIROUEN )
Normandie Université ( NU ) -Normandie Université ( NU ) -Centre National de la Recherche Scientifique ( CNRS )
Publication Year :
2017
Publisher :
arXiv, 2017.

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 $p$-variation with $p\in [1,3[$. It covers pathwise stochastic noises directed by a fractional Brownian motion of Hurst parameter greater than $1/3$.<br />Comment: 27 pages

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....77bf74103a68a8c3b44d8628b5377aa3
Full Text :
https://doi.org/10.48550/arxiv.1702.06495