Undergraduate Publication:
Kantorovich Duality and Optimal Transport Problems on Magnetic Graphs

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dc.creatorRobertson, Sawyer Jack
dc.date.accessioned2019-04-29T22:50:21Z
dc.date.accessioned2021-04-14T14:56:30Z
dc.date.available2019-04-29T22:50:21Z
dc.date.available2021-04-14T14:56:30Z
dc.date.issued1/31/19
dc.description.abstractWe consider Lipschitz- and Arens-Eells-type function spaces constructed for magnetic graphs, which are adapted to the magnetic setting from the classical area of optimal transport on discrete spaces. After establishing the duality between this spaces, we prove a characterization of the extreme points of the unit ball in the (magnetic) Lipschitz space as well as a semi-constructive result relating the (magnetic) Arens-Eells norm for functions defined on a magnetic graph to the (classical) Arens-Eells norm for functions defined on the so-called magnetic lift graph.en_US
dc.description.abstractBiography: Sawyer Jack Robertson is interested in mathematical analysis who has engaged in research activities out of the OU math department for two years. He is a two-time consecutive recipient of OU Libraries’ Undergraduate Research award. His 2019 paper describes a connection between two spaces which help model transport phenomena, and is currently working to extend this result to more general areas.en_US
dc.description.abstractUniversity Libraries Undergraduate Research Awarden_US
dc.description.undergraduateundergraduate
dc.format.extent10 pages
dc.format.extent841,613 bytes
dc.format.mediumapplication.pdf
dc.identifier.urihttps://hdl.handle.net/11244.46/1534
dc.language.isoen_USen_US
dc.relation.requiresAdobe Acrobat Reader
dc.subjectUniversity Libraries Undergraduate Research Award
dc.titleKantorovich Duality and Optimal Transport Problems on Magnetic Graphs
dc.typeArticle
dspace.entity.typeUndPublication

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