@inbook {2014,
	title = {Lecture notes on gradient flows and optimal transport},
	number = {London Mathematical Society Lecture Note Series;volume 413; pages 100-144;},
	year = {2014},
	note = {Book title: Optimal transportation},
	publisher = {Cambridge University Press},
	organization = {Cambridge University Press},
	abstract = {We present a short overview on the strongest variational formulation for gradient flows of geodesically λ-convex functionals in metric spaces, with applications to diffusion equations in Wasserstein spaces of probability measures. These notes are based on a series of lectures given by the second author for the Summer School "Optimal transportation: Theory and applications" in Grenoble during the week of June 22-26, 2009.},
	doi = {10.1017/CBO9781107297296},
	url = {http://urania.sissa.it/xmlui/handle/1963/35093},
	author = {Sara Daneri and Giuseppe Savar{\`e}}
}
@article {2008,
	title = {Eulerian calculus for the displacement convexity in the Wasserstein distance},
	journal = {SIAM J. Math. Anal. 40 (2008) 1104-1122},
	number = {arXiv.org;0801.2455v1},
	year = {2008},
	publisher = {SIAM},
	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 and Westdickenberg [SIAM J. Math. Anal., 37 (2005), pp. 1227-1255] and on the metric characterization of the gradient flows generated by the functionals in the Wasserstein space.},
	doi = {10.1137/08071346X},
	url = {http://hdl.handle.net/1963/3413},
	author = {Sara Daneri and Giuseppe Savar{\`e}}
}
