47 citations · 120 across the 12 of their papers we have counts for
17 papers
Finite Free Point Processes
Adam W. Marcus
We use techniques from finite free probability to analyze matrix processes related to eigenvalues, singular values, and generalized singular values of random matrices. The models w…
Polynomial convolutions and (finite) free probability
Adam W. Marcus
We introduce a finite version of free probability and show the link between recent results using polynomial convolutions and the traditional theory of free probability. One tool fo…
A Determinantal Identity for the Permanent of a Rank 2 Matrix
Adam W. Marcus
We prove an identity relating the permanent of a rank matrix and the determinants of its Hadamard powers. When viewed in the right way, the resulting formula looks strikingly s…
Existence and polynomial time construction of biregular, bipartite Ramanujan graphs of all degrees
Aurelien Gribinski, Adam W. Marcus
We prove that there exist bipartite, biregular Ramanujan graphs of every degree and every number of vertices provided that the cardinalities of the two sets of the bipartition divi…
A class of multivariate polynomial convolutions (and applications)
Adam W. Marcus
We prove two "master" convolution theorems for multivariate determinantal polynomials. The methods used include basic properties of what we call a "minor-orthogonal" ensemble as we…
A rectangular additive convolution for polynomials
Aurelien Gribinski, Adam W. Marcus
We define the rectangular additive convolution of polynomials with nonnegative real roots as a generalization of the asymmetric additive convolution introduced by Marcus, Spielman…