Ju l 2 00 9 TRANSPORTATION DISTANCES ON THE CIRCLE

Abstract

In this contribution, we study Monge-Kantorovich distances between discrete set of points on the unit circle S 1 , when the ground distance between two points x and y on the circle is defined as c(x, y) = min(|x − y|, 1 − |x − y|). We first prove that computing a Monge-Kantorovich distance between two given sets of pairwise different points boils down to… (More)

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