Approximation schemes for path integration on Riemannian manifolds

Sampedro Pascual, Juan Carlos

doi:10.1016/j.jmaa.2022.126176

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Identificadores

URI: https://hdl.handle.net/10902/37978

DOI: 10.1016/j.jmaa.2022.126176

ISSN: 0022-247X

ISSN: 1096-0813

Fecha

2022

Derechos

Publicado en

Journal of Mathematical Analysis and Applications, 2022, 512(2), 126176

Editorial

Academic Press Inc.

Enlace a la publicación

https://doi.org/10.1016/j.jmaa.2022.126176

Palabras clave

Finite dimensional approximations

Riemannian manifolds

Stratonovich stochastic integral

Wiener measure

Resumen/Abstract

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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Attribution-NonCommercial-NoDerivatives 4.0 International © 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license

Excepto si se señala otra cosa, la licencia del ítem se describe como Attribution-NonCommercial-NoDerivatives 4.0 International © 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license