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math.CO2025
Corrections to Classical Matrix Ensemble Moments, Non-Crossing Annular Pairings, and Ribbon Graphs
Anas A. Rahman, Daniel Munoz George, James A. Mingo
We elucidate a bijection between ribbon graphs on the real projective plane and non-crossing annular pairings that relate to the correction term of the GOE and LOE spectral m…
math.OA2025
Second order free cumulants: product, commutator, and anti-commutator
Daniel Munoz George, Daniel Perales
Given two second order free random variables and , we study the second order free cumulants of their product , their commutator , and their anti-commutator $ab+ba…