Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics. Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of ...
参考文献如下 Optional learning resources: Filippo Santambrogio.Optimal transport for applied mathematicians. Birkhauser,2015. Alfred Galichon.Optimal transport methods ineconomics. Princeton University Press, 2016. Cedric Villani.Topics in optimal transportation. American Mathematical Society, 2003. Cedric Villan...
Galichon, Alfred: Optimal transport methods in economicsdoi:10.1007/s00712-018-0626-0DenizDepartmentDizdarDepartmentSpringerJournal of Economics
, that is, when the electrons move relatively slowly trying to avoid each other as much as possible because of their repulsion (strong-interaction limit), is reformulated here as an optimal transport (or mass transportation theory) problem, a well-established field of mathematics and economics. ...
never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods....
The transportation problem can be formalized as the problem of finding the optimal way to transport a given measure into another with the same mass. In contrast to the Monge-Kantorovitch problem, recent approaches model the branched structure of such supply networks as minima of an energy functio...
Thus, in systems with purely diffusive \({{{\mathcal{S}}}\) transport, a localization–delocalization transition occurs when the reaction flux equals exactly half the influx of \({{{\mathcal{S}}}\). Note that Eq. (10) is general, independent of v and σ and other details of the s...
The method used in this study could lead policymakers to make quick and appropriate decisions that may reduce or prevent damages related to a disaster. 2.2. Policy analyses by tourism demand functions The Ministry of Land, Infrastructure, Transport and Tourism of Japan (2009) has published a manu...
Using Optimal Control Theory (OCT), we design fast ramps for the controlled transport of Bose-Einstein condensates with atom chips’ magnetic traps. These ramps are engineered in the context of precision atom interferometry experiments and support transp