2013
AUTHORSLuigi Ambrosio , Alberto Bressan , Dirk Helbing , Axel Klar , Enrique Zuazua , Nicola Gigli
ABSTRACTThis text is an expanded version of the lectures given by the first author in the 2009 CIME summer school of Cetraro. It provides a quick and reasonably account of the classical theory of optimal mass transportation and of its more recent developments, including the metric theory of gradient flows, geometric and functional inequalities related to optimal transportation, the first and second order differential calculus in the Wasserstein space and the synthetic theory of metric measure spaces with Ricci curvature bounded from below. More... »
PAGES1-155
Modelling and Optimisation of Flows on Networks
ISBN
978-3-642-32159-7
978-3-642-32160-3
http://scigraph.springernature.com/pub.10.1007/978-3-642-32160-3_1
DOIhttp://dx.doi.org/10.1007/978-3-642-32160-3_1
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