Mass Transportation on the Earth

Ludovic Rifford

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

Sujets

• Antipolis
• Lebesgue measure
• Transportation theory
• Universidad de Niza Sophia Antipolis

Informations

• Publié par: pefav
• Nombre de lectures: 5
• Langue: English

Extrait

Mass

Transportation on the

Ludovic Rifford

Universit´edeNice-SophiaAntipolis

uLdoviciRoffdraMssrTnasportationont

Earth

ehEarth

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LetMbe asmooth connected compact surfaceinR n . For anyx,y∈M, we define the geodesic distance betweenxand y, denoted byd(x,y), as the minimum of the lengths of the curves (drawn onM) joiningxtoy.