Abstract
We investigate the Brenier map between the uniform measures on two convex domains in , or, more generally, between two log-concave probability measures on . We show that the eigenvalues of the Hessian matrix exhibit concentration properties on a multiplicative scale, regardless of the choice of the two measures or the dimension .
Citation
Bo’az Klartag. Alexander Kolesnikov. "Eigenvalue distribution of optimal transportation." Anal. PDE 8 (1) 33 - 55, 2015. https://doi.org/10.2140/apde.2015.8.33
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