Document type
Bachelor thesisPublication date
Publication license
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/223117
Spectral density of Wishart matrices and the replica method
Journal Title
Authors
Director/Tutor
Additional contribution
Journal ISSN
Volume Title
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
Description
Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2025, Tutor: Matteo Palassini
Related resource
Subject (English)
Citation
Collections
Citation
MARTÍNEZ ORTEGA, Pol. Spectral density of Wishart matrices and the replica method. [consulted: 16 of October of 2026]. Available at: https://hdl.handle.net/2445/223117