@article{AIHPB_2010__46_1_1_0, author = {Erbar, Matthias}, title = {The heat equation on manifolds as a gradient flow in the {Wasserstein} space}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {1--23}, publisher = {Gauthier-Villars}, volume = {46}, number = {1}, year = {2010}, doi = {10.1214/08-AIHP306}, mrnumber = {2641767}, zbl = {1215.35016}, language = {en}, url = {http://archive.numdam.org/articles/10.1214/08-AIHP306/} }