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On the geometry of geodesics in discrete optimal transport

We consider the space of probability measures on a discrete set [Formula: see text] , endowed with a dynamical optimal transport metric. Given two probability measures supported in a subset [Formula: see text] , it is natural to ask whether they can be connected by a constant speed geodesic with sup...

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Detalles Bibliográficos
Autores principales: Erbar, Matthias, Maas, Jan, Wirth, Melchior
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6390900/
https://www.ncbi.nlm.nih.gov/pubmed/30872900
http://dx.doi.org/10.1007/s00526-018-1456-1