124 citations · 735 across the 42 of their papers we have counts for
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math.CO2012
The multivariate arithmetic Tutte polynomial
Petter Brändén, Luca Moci
We introduce an arithmetic version of the multivariate Tutte polynomial, and (for representable arithmetic matroids) a quasi-polynomial that interpolates between the two. A general…
math.OC2012★ 1 cited
Hyperbolicity cones of elementary symmetric polynomials are spectrahedral
Petter Brändén
We prove that the hyperbolicity cones of elementary symmetric polynomials are spectrahedral, i.e., they are slices of the cone of positive semidefinite matrices. The proof uses the…
math.CA2012★ 6 cited
Elements of Polya-Schur theory in finite difference setting
P. Brändén, I. Krasikov, B. Shapiro
In this note we attempt to develop an analog of Pólya-Schur theory describing the class of univariate hyperbolicity preservers in the setting of linear finite difference operators.…