5 Kantorovich Metric : Initial History and Little - Known Applications
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چکیده
We remind of the history of the transportation (Kantorovich) metric and the Monge–Kantorovich problem. We also describe several little-known applications: the first one concerns the theory of decreasing sequences of partitions (tower of measures and iterated metric), the second one relates to Ornstein's theory of Bernoulli automorphisms (¯ d-metric), and the third one is the formulation of the strong Monge–Kantorovich problem in terms of matrix distributions. Bibliography: 29 titles.
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M ar 2 00 5 KANTOROVICH METRIC : INITIAL HISTORY AND LITTLE - KNOWN APPLICATIONS
We recall the history of the transportation (Kantorovich) metric and the Monge–Kantorovich problem. We also describe several little-known applications: the first one concerns the theory of decreasing sequences of partitions (tower of measures and iterated metric), the second one relates to Ornstein's theory of Bernoulli automorphisms (¯ d-metric), and the third one is the formulation of the str...
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