Rough dynamics on smooth manifolds by Prof. Rama Cont (Oxford)
Event details
| Date | 11.12.2024 |
| Hour | 13:30 › 14:30 |
| Speaker | Prof. Rama Cont |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
We define a notion of irregular path with finite p-th variation on a manifold, for arbitrarily large integer p, and develop an intrinsic calculus for functionals of such paths.
Our construction may be viewed as a higher-order analogue of L. Schwartz's "second order differential geometry".
But, unlike the latter, our framework is purely geometric, without any probabilistic ingredient, and only relies on the existence of a connection on the manifold.
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