Correlation Functions for β=1 Ensembles of Matrices of Odd Size

2008/11/08 by Christopher D. Sinclair, Christopher D Sinclair · 15 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics #Correlation #Correlation function (quantum field theory) #Geometry #Hermitian matrix #Mathematical physics #Mathematics #Physics #Pure mathematics #Random Matrices and Applications #Statistical physics #Statistics #math-ph #math.MP #msc:15A52

paper · pdf · doi:10.1007/s10955-009-9771-8

published in Journal of Statistical Physics 136(1), 17-33 (Springer Science+Business Media) · 15 pages

arxiv created 2008/11/08 · openalex publication_date 2009/06/11 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using the method of Tracy and Widom we rederive the correlation functions for β=1 Hermitian and real asymmetric ensembles of N x N matrices with N odd.

Citations

• Correlation Functions of Asymmetric Real Matrices
• Correlation Functions, Cluster Functions, and Spacing Distributions for Random Matrices
• General eigenvalue correlations for the real Ginibre ensemble