Approximation schemes for path integration on Riemannian manifolds
Truth is much too complicated to allow anything but approximations. [John von Neumann] In this paper, we prove a finite dimensional approximation scheme for the Wiener measure on closed Riemannian manifolds, establishing a generalization for L1-functionals, of the approach followed by Andersson and...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/37978 |
| Acceso en línea: | https://hdl.handle.net/10902/37978 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite dimensional approximations Riemannian manifolds Stratonovich stochastic integral Wiener measure |
| Sumario: | Truth is much too complicated to allow anything but approximations. [John von Neumann] In this paper, we prove a finite dimensional approximation scheme for the Wiener measure on closed Riemannian manifolds, establishing a generalization for L1-functionals, of the approach followed by Andersson and Driver on [1]. We follow a new approach motived by the categorical concept of colimit. |
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