4 papers
Probabilities of random monomial ideals associated to large graphs
Daniel Munoz George, Humberto Muñoz-George, Kevin Muñoz George
Inspired by the Erdős Rényi model, we propose a new model for freesquare random monomial ideals generated by edges and covers of a graph. This permit us to investigate the conditio…
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…
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…
Ultra high order cumulants and quantitative CLT for polynomials in Random Matrices
Zhigang Bao, Daniel Munoz George
From the study of the high order freeness of random matrices, it is known that the order cumulant of the trace of a polynomial of -dimensional GUE/GOE is of order …