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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Physics Quantum physics (quantum mechanics & quantum field theory)

• Plný název: Euclidean Matching Problem
• Autor: Gabriele Sicuro
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 136
• EAN: 9783319465760
• ISBN: 3319465767
• ID: 13938058
• Nakladatelství: Springer International Publishing AG
• Hmotnost: 3554 g
• Rozměry: 235 × 155 × 14 mm
• Datum vydání: 25. October 2016

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