Book Description: On Sudakov's Type Decomposition of Transference Plans With Norm Costs: Memoirs of the American Mathematical Society Author: [Insert Author Names] January 1, 2018 Pages: Genre: Mathematics, Optimal Transportation, Norm Costs, Transference Plans Overview: In "On Sudakov's Type Decomposition of Transference Plans With Norm Costs the authors explore the original strategy proposed by Sudakov for solving the Monge transportation problem with norm costs. This approach involves decomposing the Kantorovich optimal transportation problem into a family of transportation problems in one-dimensional subsets (Zalpha) of the Euclidean space, allowing for a simpler construction of an optimal map. The book delves into the difficulties that arise when the norm cost is not strictly convex and presents a complete characterization of the Kantorovich optimal transportation problem, including solutions to the Monge problem in each set Zalpha and the more general setting of transference plans with costs. Plot: The book begins by introducing the concept of optimal transportation and its connection to the Monge problem.

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