Eulerian calculus for the displacement convexity in the Wasserstein distance Export

@misc{citeulike:2244333, abstract = {In this paper we give a new proof of the (strong) displacement convexity of a class of integral functionals defined on a compact Riemannian manifold satisfying a lower Ricci curvature bound. Our approach does not rely on existence and regularity results for optimal transport maps on Riemannian manifolds, but it is based on the Eulerian point of view recently introduced by Otto-Westdickenberg and on the metric characterization of the gradient flows generated by the functionals in the Wasserstein space.}, author = {Daneri, Sara and Savare, Giuseppe}, citeulike-article-id = {2244336}, citeulike-linkout-0 = {http://arxiv.org/abs/0801.2455}, eprint = {0801.2455}, keywords = {bibtex-import, otarie, transport}, month = {Jan}, posted-at = {2008-01-17 10:51:20}, priority = {2}, title = {Eulerian calculus for the displacement convexity in the Wasserstein distance}, url = {http://arxiv.org/abs/0801.2455}, year = {2008} }

TY - GEN ID - citeulike:2244333 L3 - citeulike-article-id:2244336 N2 - In this paper we give a new proof of the (strong) displacement convexity of a class of integral functionals defined on a compact Riemannian manifold satisfying a lower Ricci curvature bound. Our approach does not rely on existence and regularity results for optimal transport maps on Riemannian manifolds, but it is based on the Eulerian point of view recently introduced by Otto-Westdickenberg and on the metric characterization of the gradient flows generated by the functionals in the Wasserstein space. TI - Eulerian calculus for the displacement convexity in the Wasserstein distance KW - bibtex-import KW - otarie KW - transport AU - Daneri, Sara AU - Savare, Giuseppe PY - 2008/Jan// UR - http://arxiv.org/abs/0801.2455 ER -