8 citations · 8 across the 4 of their papers we have counts for
5 papers
Stable multivariate generalizations of matching polynomials
Nima Amini
The first part of this note concerns stable averages of multivariate matching polynomials. In proving the existence of infinite families of bipartite Ramanujan -coverings, Hall,…
The Cone of Cyclic Sieving Phenomena
Per Alexandersson, Nima Amini
We study cyclic sieving phenomena (CSP) on combinatorial objects from an abstract point of view by considering a rational polyhedral cone determined by the linear equations that de…
Equidistributions of Mahonian statistics over pattern avoiding permutations
Nima Amini
A Mahonian d-function is a Mahonian statistic that can be expressed as a linear combination of vincular pattern statistics of length at most d. Babson and Steingrimsson classified…
Spectrahedrality of hyperbolicity cones of multivariate matching polynomials
Nima Amini
The generalized Lax conjecture asserts that each hyperbolicity cone is a linear slice of the cone of positive semidefinite matrices. We prove the conjecture for a multivariate gene…
Non-representable hyperbolic matroids
Nima Amini, Petter Brändén
The generalized Lax conjecture asserts that each hyperbolicity cone is a linear slice of the cone of positive semidefinite matrices. Hyperbolic polynomials give rise to a class of…