Replica-symmetric approach to the typical eigenvalue fluctuations of Gaussian random matrices

DOI10.1088/1751-8121/aa94f8zbMath1386.82061arXiv1510.06637OpenAlexW3102122269MaRDI QIDQ4600896

Fernando Lucas Metz

Publication date: 18 January 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06637

zbMATH Keywords

replica methodeigenvalue fluctuationsrandom matrix theory

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (2)

Imaginary replica analysis of loopy regular random graphs ⋮ Index of a matrix, complex logarithms, and multidimensional Fresnel integrals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Statistical Theory of the Energy Levels of Complex Systems. I
• Large deviations of the shifted index number in the Gaussian ensemble
• Averages of characteristic polynomials in random matrix theory
• Spectra of sparse random matrices
• Replica method for wide correlators in Gaussian orthogonal, unitary and symplectic random matrix ensembles
• Exact density of states for finite Gaussian random matrix ensembles via supersymmetry
• Wigner-Dyson statistics from the replica method
• Index distribution of Cauchy random matrices
• Characteristic polynomials of random matrices.

This page was built for publication: Replica-symmetric approach to the typical eigenvalue fluctuations of Gaussian random matrices