Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/223117
Title: Spectral density of Wishart matrices and the replica method
Author: Martínez Ortega, Pol
Director/Tutor: Palassini, Matteo
Keywords: Sistemes complexos
Matrius aleatòries
Treballs de fi de grau
Complex systems
Random matrices
Bachelor's theses
Issue Date: Jun-2025
Abstract: Random matrix theory provides a powerful framework for understanding universal features of complex systems, especially in the large-size limit. In this work, we study the spectral density of Wishart-Laguerre random matrices using the Edwards-Jones formula. We reinterpret the averaged quantity in the Edwards-Jones formula as the partition function of a disordered system and apply tools from statistical physics. Our results illustrate how techniques from statistical physics of disordered systems naturally extend to random matrix theory, offering physical insight and analytical methods for exploring spectral properties in complex systems
Note: Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2025, Tutor: Matteo Palassini
URI: https://hdl.handle.net/2445/223117
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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