Optimal mass transportation and Mather theory

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dc.creatorBernard, Patrick
dc.creatorBuffoni, Boris
dc.date2004-12-15
dc.date2007-01-16
dc.date.accessioned2026-07-07T07:40:56Z
dc.date.available2026-07-07T07:40:56Z
dc.descriptionWe study optimal transportation of measures on compact manifolds for costs defined from convex Lagrangians. We prove that optimal transportation can be interpolated by measured Lipschitz laminations, or geometric currents. The methods are inspired from Mather theory on Lagrangian systems. We make use of viscosity solutions of the associated Hamilton-Jacobi equation in the spirit of Fathi's approach to Mather theory.
dc.identifierhttps://arxiv.org/abs/math/0412299
dc.identifierhttp://arxiv.org/abs/math/0412299
dc.identifierJournal of the European Mathematical Society 9 (2007) 85-121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121934
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subjectProbability
dc.subject49Q20 70H20 49L20
dc.titleOptimal mass transportation and Mather theory
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