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기하학수리물리연구단
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Homotopy probability theory on a Riemannian manifold and the Euler equation

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dc.contributor.authorGabriel C. Drummond-Cole-
dc.contributor.authorJohn Terilla-
dc.date.available2017-11-28T01:32:01Z-
dc.date.created2017-10-19-
dc.date.issued2017-08-
dc.identifier.issn1076-9803-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/4000-
dc.description.abstractHomotopy probability theory is a version of probability theory in which the vector space of random variables is replaced with a chain complex. A natural example extends ordinary probability theory on a finite volume Riemannian manifold M. In this example, initial conditions for fluid flow on M are identified with collections of homotopy random variables and solutions to the Euler equation are identified with homotopies between collections of homotopy random variables. Several ideas about using homotopy probability theory to study fluid flow are introduced. © 2017, University at Albany. All rights reserved-
dc.language영어-
dc.publisherELECTRONIC JOURNALS PROJECT-
dc.titleHomotopy probability theory on a Riemannian manifold and the Euler equation-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000409392400001-
dc.identifier.scopusid2-s2.0-85029389919-
dc.identifier.rimsid60738-
dc.date.tcdate2018-10-01-
dc.contributor.affiliatedAuthorGabriel C. Drummond-Cole-
dc.identifier.doi10.48550/arXiv.1608.00141-
dc.identifier.bibliographicCitationNEW YORK JOURNAL OF MATHEMATICS, v.23, pp.1065 - 1085-
dc.relation.isPartOfNEW YORK JOURNAL OF MATHEMATICS-
dc.citation.titleNEW YORK JOURNAL OF MATHEMATICS-
dc.citation.volume23-
dc.citation.startPage1065-
dc.citation.endPage1085-
dc.date.scptcdate2018-10-01-
dc.description.scptc0-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.subject.keywordAuthorFluids-
dc.subject.keywordAuthorHomotopy-
dc.subject.keywordAuthorProbability-
dc.subject.keywordAuthorRiemannian manifolds-
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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