The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability meas

This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of tw

This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence

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This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this be