Optimal transportation and action. Minimizing measures

In the past fifteen years, optimal transport of measures has been exten- sively studied in ... minimizing geodesic from x0 to x1 that lies entirely in A. It is totally convex if for any x0,x1 ... There is an action of R+ on S by multiplication. As the angle ... 21 Jul 2017 ... stein distance for optimal transport on graphs that is defined via a discrete modification of ... bility measures in Rn is the minimum of an action functional over solutions to the corresponding continuity ... which minimizes. N´1.

MLA; BibTeX; RIS. Mather, John N.. "Action minimizing invariant measures for positive definite Lagrangian systems.." Mathematische Zeitschrift 207.2 (1991): ... 17 Apr 2015 ... on optimal transportation between measures, where the input point sets are seen as ... Keywords: shape reconstruction, optimal transportation, noise ... Finding a transport plan minimizing the transport cost results in a linear ...

0)♯m0 = m0 and is minimizing the action. A1. 0(m0) = ∫. TM×[0,1]. L(ψt. 0(x, v),t) dm0dt. The major discovery of [28] is that Mather measures are supported on ...

Alla fine del 2007 consegue il dottorato in Matematica con la tesi "Optimal transportation and action-minimizing measures", presso la Scuola Normale Superiore di Pisa e l'Ecole Normale Superieure

Optimal Transportation and Action-Minimizing Measures. Front Cover. Alessio Figalli. Scuola Normale Superiore, Jul 17, 2008 - Mathematics - 254 pages. of probability measures on a manifold endowed with a notion of distance derived from the optimal ... action minimizing curve or an optimal trajectory from x to y.