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Volumn 41, Issue 6, 2009, Pages 2554-2576

From Knothe's transport to Brenier's map and a continuation method for optimal transport

Author keywords

Continuation methods; Knothe Rosenblatt transport; Optimal transport; Rearrangement of vector valued maps

Indexed keywords

ITERATIVE METHODS; MASS TRANSPORTATION;

EID: 77950854895     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/080740647     Document Type: Article
Times cited : (98)

References (12)
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    • (1999) Monge Amp̀ere Equation: Applications to Geometry and Optimization, Contemp. Math. , vol.226 , pp. 1-11
    • Benamou, J.-D.1    Brenier, Y.2
  • 2
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    • Benamou, J.-D.1    Brenier, Y.2
  • 3
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    • Oxford University Press, Oxford
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    • (2002) Oxford Lecture Ser. Math. Appl. , vol.22
    • Braides, A.1
  • 4
    • 84990623199 scopus 로고
    • Polar factorization and monotone rearrangement of vector-valued functions
    • Y. Brenier, Polar factorization and monotone rearrangement of vector-valued functions, Comm. Pure Appl. Math., 44 (1991), pp. 375-417.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 375-417
    • Brenier, Y.1
  • 6
    • 21844484336 scopus 로고
    • An elementary proof of the polar factorization of vector-valued functions
    • W. Gangbo, An elementary proof of the polar factorization of vector-valued functions, Arch. Rational Mech. Anal., 128 (1994), pp. 381-399.
    • (1994) Arch. Rational Mech. Anal. , vol.128 , pp. 381-399
    • Gangbo, W.1
  • 7
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    • Contributions to the theory of convex bodies
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    • Knothe, H.1
  • 8
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    • Existence and uniqueness of monotone measure-preserving maps
    • R. J. McCann, Existence and uniqueness of monotone measure-preserving maps, Duke Math. J., 80 (1995), pp. 309-323.
    • (1995) Duke Math. J. , vol.80 , pp. 309-323
    • McCann, R.J.1
  • 9
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    • Remarks on a multivariate transformation
    • M. Rosenblatt, Remarks on a multivariate transformation, Ann. Math. Statistics, 23 (1952), pp. 470-472.
    • (1952) Ann. Math. Statistics , vol.23 , pp. 470-472
    • Rosenblatt, M.1
  • 10
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    • Measure preserving transformations and rearrangements
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  • 11
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    • Topics in Optimal Transportation
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    • Villani, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.