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Optimización matemática en problemas de la Física

 

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Opened Access Optimización matemática en problemas de la Física
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Author: Brenes Ferreiro, María de las Mercedes
Director: Blanquero Bravo, Rafael
Carrizosa Priego, Emilio José
Department: Universidad de Sevilla. Departamento de Estadística e Investigación Operativa
Date: 2018-06
Document type: Final Degree Work
Academic Title: Universidad de Sevilla. Doble Grado en Física y Matemáticas
Abstract: In this work, Spin Glasses with Ising Sping model are studied. The objetive is the computation of the magnetic partition function and the search of the groung state. When we consider a two-dimensional lattice the problems can be solved in polynomial time depending on the size of the lattice. Nevertheless, we find a NP-hard problem in the two-dimensional within a magnetic field or the three-dimensional Spin Glass model. We’ll finally solve the two-dimensional problem with optimization algorithms.
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URI: https://hdl.handle.net/11441/77646

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional

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