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Variational Problems in Transport Theory with Mass Concentration by Filippo Santambrogio (Paperback, 2007)

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This book examines variational problems involving optimal transportation of probability measures, in competition with concentration effects. It presents some problems where measures have to be selected minimizing transport costs between them, but satisfying some concentration criteria, with possible applications to urban planning. The book also covers optimization problems where the concentration or diffusion phenomena occurs directly at the level of the transportation structure.