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arXiv:2403.10121 [math.PR]AbstractReferencesReviewsResources

Invariant submanifolds for solutions to rough differential equations

Stefan Tappe

Published 2024-03-15Version 1

In this paper we provide necessary and sufficient conditions for invariance of finite dimensional submanifolds for rough differential equations (RDEs) with values in a Banach space. Furthermore, we apply our findings to the particular situation of random RDEs driven by $Q$-Wiener processes and random RDEs driven by $Q$-fractional Brownian motion.

Comments: 15 pages
Categories: math.PR
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