2011/07/06 by I. P. Goulden, Goulden, Ian P., Mathieu Guay-Paquet +3
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.1107.1015
openalex publication_date 2011/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we prove that the complex convergence of the HCIZ free energy is equivalent to the non-vanishing of the HCIZ integral in a neighbourhood of z=0. Our approach is based on a combinatorial model for the Maclaurin coefficients of the HCIZ integral together with classical complex-analytic techniques.