02007cam a22002537i 4500008004100000020001800041082001400059245005200073260004800125300001400173490005900187520117500246650004201421650003001463650002701493650001301520650003401533650003701567650002001604650004901624700002701673700002501700700002801725150219s2014 enka b 000 0 eng d a9781107689497 a519.6bO700aOptimal transportation: theory and applications aCambridgebCambridge University Pressc2014 ax, 306 p.1 aLondon Mathematical Society Lecture Note Series No.413 aThe theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceedings of the summer school 'Optimal Transportation: Theory and Applications' held at the Fourier Institute in Grenoble. The event brought together mathematicians from pure and applied mathematics, astrophysics, economics and computer science. Part I of this book is devoted to introductory lecture notes accessible to graduate students, while Part II contains research papers. Together, they represent a valuable resource on both fundamental and advanced aspects of optimal transportation, its applications, and its interactions with analysis, geometry, PDE and probability, urban planning and economics. Topics covered include Ricci flow, the Euler equations, functional inequalities, curvature-dimension conditions, and traffic congestion.(http://www.cambridge.org/us/academic/subjects/mathematics/geometry-and-topology/optimal-transport-theory-and-applications?format=PB) 0aTransportation problems - Programming 0aMathematical optimization 0aCombinatorial analysis 0aMatrices 7aCombinatorial analysis - fast 7aMathematical optimization - fast 7aMatrices - fast 7aTransportation problems - Programming - fast1 aOllivier, YanneEditor1 aPajot, HerveeEditor1 aVillani, CedriceEditor