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An optimalization problem for block Newton-Kantorovich processes

✍ Scribed by S. S. Volokitin


Book ID
105072010
Publisher
SP MAIK Nauka/Interperiodica
Year
1975
Tongue
English
Weight
302 KB
Volume
18
Category
Article
ISSN
0001-4346

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Optimal maps for the multidimensional Mo
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Let Β΅1, . . . , Β΅N be Borel probability measures on R d . Denote by Ξ“(Β΅1, . . . , Β΅N ) the set of all N -tuples T = (T1, . . . , TN ) such that Ti : R d β†’ R d (i = 1, . . . , N) are Borel-measurable and satisfy Β΅1[T -1 i (V )] = Β΅i[V ] for all Borel V βŠ‚ R d . The multidimensional Monge-Kantorovich p