Timeline for Computations with the distance function on a Riemannian manifold
Current License: CC BY-SA 3.0
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Jul 23, 2014 at 18:09 | comment | added | Benoît Kloeckner | You will find definition of the monotone rearrangement in many books on optimal transportation (e.g. one of Villani's books). In words, it is the measure on $[0,+\infty)^2$ that has marginals $\mu$ and $\mu^*$, and which ``maps'' the leftmost part of the mass of $\mu$ to the leftmost part of the mass of $\mu^*$. | |
Jul 23, 2014 at 17:09 | vote | accept | Henry | ||
Jul 23, 2014 at 17:09 | comment | added | Henry | I am not familiar with the monotone rearrangement from μ to μ ∗ and I could not find an explicit definition. Would you mind adding such details, please? | |
Jun 30, 2014 at 20:19 | history | answered | Benoît Kloeckner | CC BY-SA 3.0 |