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Approximation schemes for path integration on Riemannian manifolds

dc.contributor.authorSampedro Pascual, Juan Carlos
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2025-10-27T15:01:36Z
dc.date.available2025-10-27T15:01:36Z
dc.date.issued2022
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.otherPGC2018-097104-B-I00es_ES
dc.identifier.urihttps://hdl.handle.net/10902/37978
dc.description.abstractTruth 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.es_ES
dc.description.sponsorshipThe author has been supported by the Research Grant PGC2018-097104-B-I00 of the Spanish Ministry of Science, Technology and Universities, by the Institute of Interdisciplinar Mathematics of Complutense University and by PhD Grant PRE2019_1_0220 of the Basque Country Government.es_ES
dc.format.extent19 p.es_ES
dc.language.isoenges_ES
dc.publisherAcademic Press Inc.es_ES
dc.rightsAttribution-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 licensees_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceJournal of Mathematical Analysis and Applications, 2022, 512(2), 126176es_ES
dc.subject.otherFinite dimensional approximationses_ES
dc.subject.otherRiemannian manifoldses_ES
dc.subject.otherStratonovich stochastic integrales_ES
dc.subject.otherWiener measurees_ES
dc.titleApproximation schemes for path integration on Riemannian manifoldses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.jmaa.2022.126176es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1016/j.jmaa.2022.126176
dc.type.versionpublishedVersiones_ES


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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 licenseExcepto 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