Approximation schemes for path integration on Riemannian manifolds
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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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/71541 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/71541 |
| Access Level: | acceso abierto |
| Palabra clave: | 51 Colimit Finite dimensional approximations Riemannian manifolds Stratonovich stochastic integral Wiener measure Análisis numérico Procesos estocásticos Topología 1206 Análisis Numérico 1208.08 Procesos Estocásticos 1210 Topología |
| Sumario: | 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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