Corrections to Classical Matrix Ensemble Moments, Non-Crossing Annular Pairings, and Ribbon Graphs
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/N2 correction terms of said moments and their equivalents for the GUE and LUE.
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