Descrizione

In 2008, a school on the theory of Optimal Transportation and its applications took place in Pisa, with lectures by F. Barthe, W. Gangbo, F. Maggi and R. McCann. This book collects the notes of the first three lecturers. These notes provide a deep insight into the topics of concentration inequalities, evolution PDE’s of Hamiltonian type, geometric and functional inequalities.