1 citations · 1 across the 5 of their papers we have counts for
5 papers
Statistics on monotonically ordered non-crossing partitions
Natasha Blitvic, Thomas Bray, Jacob Campbell +1
We study some combinatorial statistics defined on the set of monotonically ordered non-crossing partitions of {1,...,n}, and on the set of mono…
Even Hypergeometric Polynomials and Finite Free Commutators
Jacob Campbell, Rafael Morales, Daniel Perales
We study in detail the class of even polynomials and their behavior with respect to finite free convolutions. To this end, we use some specific hypergeometric polynomials and a var…
Commutators in finite free probability, I
Jacob Campbell
This paper describes the expected characteristic polynomial of the commutator of randomly rotated matrices, in the context of the finite free probability theory initiated by Marcus…
A central limit theorem for star-generators of , which relates to traceless CCR-GUE matrices
Jacob Campbell, Claus Köstler, Alexandru Nica
We prove a limit theorem concerning the sequence of star-generators of , where the expectation functional is provided by a character of with weights $(w_1,…
Finite free convolutions via Weingarten calculus
Jacob Campbell, Zhi Yin
We consider the three finite free convolutions for polynomials studied in a recent paper by Marcus, Spielman, and Srivastava. Each can be described either by direct explicit formul…