Springer Theses

The Euclidean Matching Problem

Authors: Sicuro, Gabriele

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  • Nominated as an outstanding Ph.D. thesis by the University of Pisa, Italy
  • Includes a review of mathematical and physical methods for the solution of the assignment problem Discusses the connection between the theory of optimal transport and matching problems Illustrates a general functional approach to the bipartite matching problem
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eBook $109.00
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  • ISBN 978-3-319-46577-7
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Hardcover $139.99
price for USA in USD
Softcover $139.99
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About this book

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 functionals 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.

About the authors

Gabriele Sicuro is a postdoctoral researcher at the Centro Brasileiro de Pesquisas FĂ­sicas, in Rio de Janeiro. Born in 1987, he obtained his master degree in Physics at University of Salento, in Lecce, in 2011 and then his doctorate in Physics at University of Pisa in January 2015.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-319-46577-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
Softcover $139.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
The Euclidean Matching Problem
Authors
Series Title
Springer Theses
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-46577-7
DOI
10.1007/978-3-319-46577-7
Hardcover ISBN
978-3-319-46576-0
Softcover ISBN
978-3-319-83544-0
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIV, 136
Number of Illustrations
44 b/w illustrations, 6 illustrations in colour
Topics