LEADER 03556nam  22006495  450 
001 9910148853403321
005 20200703045941.0
010   $a9783319465777
024 7 $a10.1007/978-3-319-46577-7
035   $a(CKB)3710000000918166
035   $a(DE-He213)978-3-319-46577-7
035   $a(MiAaPQ)EBC4723625
035   $a(PPN)196322588
035   $a(EXLCZ)993710000000918166
100   $a20161024d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Euclidean Matching Problem /$fby Gabriele Sicuro
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XIV, 136 p. 50 illus., 6 illus. in color.) 
225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
300   $a"Doctoral Thesis accepted by The University of Pisa, Italy."
311   $a3-319-46576-7 
311   $a3-319-46577-5 
320   $aIncludes bibliographical references at the end of each chapters.
327   $aIntroduction -- Optimisation, Disorder and Statistical Mechanics -- Euclidean Matching Problems -- Conclusions.
330   $aThis thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functionals and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case. The correlation functions of the optimal matching map in the thermodynamical limit are also analyzed. Lastly, using a functional approach, the thesis puts forward a general recipe for the computation of the correlation function of the optimal matching in any dimension and in a generic domain. iv>.
410  0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
606   $aPhysics
606   $aStatistical physics
606   $aDynamical systems
606   $aMathematical physics
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
606   $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090
615  0$aPhysics.
615  0$aStatistical physics.
615  0$aDynamical systems.
615  0$aMathematical physics.
615 14$aMathematical Methods in Physics.
615 24$aComplex Systems.
615 24$aMathematical Physics.
615 24$aStatistical Physics and Dynamical Systems.
676   $a511.66
700   $aSicuro$b Gabriele$4aut$4http://id.loc.gov/vocabulary/relators/aut$0477932
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910148853403321
996   $aThe Euclidean Matching Problem$92169040
997   $aUNINA