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Mass Transportation on the Earth

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Description

Mass Transportation on the Earth Ludovic Rifford Universite de Nice - Sophia Antipolis Ludovic Rifford Mass Transportation on the Earth

  • lebesgue measure

  • txm defined

  • optimal transport

  • any measurable map

  • quadratic transport problem

  • transport map

  • quadratic cost

  • universite de nice


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Published by
Reads 5
Language English
Mass
Transportation on the
Ludovic Rifford
Universit´edeNice-SophiaAntipolis
uLdoviciRodraMssrTnasportationont
Earth
ehEarth
TorkheframewopsnarTsonoitatrcRvidoLuasdMoriEartntheh
LetMbe asmooth connected compact surfaceinRn. For anyx,yM, we define the geodesic distance betweenxand y, denoted byd(x,y), as the minimum of the lengths of the curves (drawn onM) joiningxtoy.