Rough Paths on Manifolds
Thomas Cass, Christian Litterer, Terry Lyons
TL;DR
This paper extends the mathematical theory of rough paths to Lipschitz-gamma manifolds, providing a foundational framework for analyzing complex stochastic processes on manifold structures.
Contribution
The paper introduces a novel extension of rough path theory to Lipschitz-gamma manifolds, broadening its applicability to more general geometric settings.
Findings
Established a rigorous framework for rough paths on Lipschitz-gamma manifolds
Extended rough path theory to new geometric contexts
Provided foundational tools for future research in stochastic analysis on manifolds
Abstract
We develop a fundamental framework for and extend the theory of rough paths to Lipschitz-gamma manifolds.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsTopological and Geometric Data Analysis · Geometric Analysis and Curvature Flows · Data Management and Algorithms