000			01320nam a22001817a 4500
003			OSt
005			20240301144006.0
008			240301b |||||||| |||| 00| 0 eng d
020			_a9783985470501
100			_aFigalli, Alessio
245			_aAn Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows/ _cAlessio Figalli and Federico Glaudo
250			_a2nd ed.
260			_aBerlin: _bEMS Press, _c2023.
300			_avi,146p.
490			_aEMS Textbooks in Mathematics
520			_aThis 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 beautiful subject. The presentation focuses on the essential topics of the theory: Kantorovich duality, existence and uniqueness of optimal transport maps, Wasserstein distances, the JKO scheme, Otto's calculus, and Wasserstein gradient flows. At the end, a presentation of some selected applications of optimal transport is given. Suitable for a course at the graduate level, the book also includes an appendix with a series of exercises along with their solutions. The second edition contains a number of additions, such as a new section on the Brunn–Minkowski inequality, new exercises, and various corrections throughout the text.
942			_2ddc _cBK
999			_c23058 _d23058