Spin-glass models and interdisciplinary applications
作者： Elia Zarinelli
DOI:
关键词: Order (ring theory) 、 Extreme value theory 、 Statistical physics 、 Random matrix 、 Connection (mathematics) 、 Spin glass 、 Mathematics 、 Calculus 、 Combinatorial optimization
摘要: The main subject of this thesis is the physics spin glasses. After their introduction in 70s order to describe dilute magnetic alloys, spin-glass models have been considered prototype understand behavior supercooled liquids. Among systems that can be described and analyzed using language disordered systems, there are problems combinatorial optimization. In first part thesis, we consider with Kac interactions investigate phase glass-forming Afterwards, show how some features by ubiquitous results Random Matrix Theory connection Extreme Value Statistics. Finally, from interaction theory computer science, put forward a new algorithm immediate application Financial problems.
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