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The Resource The Euclidean Matching Problem, by Gabriele Sicuro, (electronic resource)

The Euclidean Matching Problem, by Gabriele Sicuro, (electronic resource)

Label
The Euclidean Matching Problem
Title
The Euclidean Matching Problem
Statement of responsibility
by Gabriele Sicuro
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Author
Subject
Language
eng
Summary
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. iv>
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0
Literary form
non fiction
Series statement
Springer Theses, Recognizing Outstanding Ph.D. Research,
The Euclidean Matching Problem, by Gabriele Sicuro, (electronic resource)
Label
The Euclidean Matching Problem, by Gabriele Sicuro, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://dx.doi.org/10.1007/978-3-319-46577-7
Publication
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Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Optimisation, Disorder and Statistical Mechanics -- Euclidean Matching Problems -- Conclusions
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319465777&userID=ebsco-test&password=ebsco-test
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unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4257780'}
Extent
XIV, 136 p. 50 illus., 6 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319465777
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

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