Corrections to Classical Matrix Ensemble Moments, Non-Crossing Annular Pairings, and Ribbon Graphs

Anas A. Rahman; Daniel Munoz George; James A. Mingo

Corrections to Classical Matrix Ensemble Moments, Non-Crossing Annular Pairings, and Ribbon Graphs

Combinatorics 2025-10-28 v1 Probability

Authors: Anas A. Rahman , Daniel Munoz George , James A. Mingo

Abstract

We elucidate a bijection between ribbon graphs on the real projective plane and non-crossing annular pairings that relate to the $1/N$ correction term of the GOE and LOE spectral moments. We also derive analogous objects for the $1/N^2$ correction terms of said moments and their equivalents for the GUE and LUE.

Keywords

matrix ensemble moment correction non-crossing annular pairing ribbon graph GOE LOE GUE LUE

Cite

@article{arxiv.2510.22308,
  title  = {Corrections to Classical Matrix Ensemble Moments, Non-Crossing Annular Pairings, and Ribbon Graphs},
  author = {Anas A. Rahman and Daniel Munoz George and James A. Mingo},
  journal= {arXiv preprint arXiv:2510.22308},
  year   = {2025}
}

Comments

35 pages, 35 figures, research borne out of collaboration at the MATRIX program 'Log-gases in Caeli Australi'

Corrections to Classical Matrix Ensemble Moments, Non-Crossing Annular Pairings, and Ribbon Graphs

Abstract

Keywords

Cite

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