Optimal Transportation, Geometry and Functional Inequalities [Paperback]

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. In this book, the notes of the first three lecturers are collected. They provide a deep insight on concentration inequalities, evolution PDEs of Hamiltonian type, geometric and functional inequalities.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, R. McCann. In this book, the notes of the first three lecturers are collected. They provide a deep insight on concentration inequalities, evolution PDEs of Hamiltonian type, geometric and functional inequalities.- One of very few books at an intermediate level between research articles and textbooks- Attractive presentation of some substantial and recent developments in the area.