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Gabriel C. Drummond-Cole
기하학 수리물리 연구단
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Homotopy probability theory on a Riemannian manifold and the Euler equation

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Title
Homotopy probability theory on a Riemannian manifold and the Euler equation
Author(s)
Gabriel C. Drummond-Cole; John Terilla
Publication Date
2017-08
Journal
New York Journal of Mathematics, v.23, no., pp.1065 - 1085
Publisher
Electronic Journals Project
Abstract
Homotopy 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
URI
http://pr.ibs.re.kr/handle/8788114/4000
ISSN
1076-9803
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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