"Non UBC"@en . "DSpace"@en . "Petrache, Mircea"@en . "2019-07-30T08:26:10Z"@en . "2019-01-30T12:11"@en . "In several applications where one studies interactions mediated by a long-range kernel, it is useful to decompose this kernel into finite-range contributions, and study them separately, without losing information on the system. In my talk I present a finite-range decomposition method developed in joint work with C. Cotar for the study of multimarginal transport with interaction kernels of the type 1/|x-y|^s. This helped apply to the study of Density Functional asymptotics, decomposition techniques that extend to much higher generality, and which seem to have high potential for algorithmic applications."@en . "https://circle.library.ubc.ca/rest/handle/2429/71140?expand=metadata"@en . "17.0 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: PUC Santiago de Chile"@en . "10.14288/1.0380218"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivatives 4.0 International"@en . "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en . "Researcher"@en . "BIRS Workshop Lecture Videos (Banff, Alta)"@en . "Mathematics"@en . "Partial differential equations"@en . "Quantum theory"@en . "Applied mathematics"@en . "Finite range decomposition for multimarginal transport"@en . "Moving Image"@en . "http://hdl.handle.net/2429/71140"@en .