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The Euclidean Matching Problem by Gabriele Sicuro - Hardcover
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PRODUCT INFORMATION

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    Specifications

    Category Type
    Physics
    ISBN
    9783319465760
    Item EAN
    2724445781543
    People
    Author
    Gabriele Sicuro
    People
    Publisher
    Springer International Publishing AG
    Category Type
    Physics
    ISBN
    9783319465760
    Item EAN
    2724445781543
    People
    Author
    Gabriele Sicuro
    People
    Publisher
    Springer International Publishing AG
    Technical Information
    Binding
    Hardcover
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution

    This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functional and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case. The correlation functions of the optimal matching map in the thermodynamical limit are also analyzed. Lastly, using a functional approach, the thesis puts forward a general recipe for the computation of the correlation function of the optimal matching in any dimension and in a generic domain.

    Product Features :
    • Category Type: Physics
    • Author: Gabriele Sicuro
    • ISBN: 9783319465760
    • Binding: Hardcover
    • Book Language: English
    • Publisher: Springer International Publishing AG
    • Number of Pages: 150 Pages
    • Dimensions: 23.5 x 15.5 x 1.0 cm
    • Edition: 1st
    • Product Weight: 0.4 kg
    • Publication Year: 2017
    • Book Origin: Switzerland
    • Series: Springer Theses
 

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