1 citations · 2 across the 5 of their papers we have counts for
13 papers
Determinantal representations and the image of the principal minor map
Abeer Al Ahmadieh, Cynthia Vinzant
In this paper we explore determinantal representations of multiaffine polynomials and consequences for the image of various spaces of matrices under the principal minor map. We sho…
Characterizing principal minors of symmetric matrices via determinantal multiaffine polynomials
Abeer Al Ahmadieh, Cynthia Vinzant
Here we consider the image of the principal minor map of symmetric matrices over an arbitrary unique factorization domain . By exploiting a connection with symmetric determinant…
Invariant hyperbolic curves: determinantal representations and applications to the numerical range
Faye Pasley Simon, Cynthia Vinzant
Here we study the space of real hyperbolic plane curves that are invariant under actions of the cyclic and dihedral groups and show they have determinantal representations that cer…
Sparse moments of univariate step functions and allele frequency spectra
Zvi Rosen, Georgy Scholten, Cynthia Vinzant
We study the univariate moment problem of piecewise-constant density functions on the interval and its consequences for an inference problem in population genetics. We show…
Log-Concave Polynomials IV: Approximate Exchange, Tight Mixing Times, and Near-Optimal Sampling of Forests
Nima Anari, Kuikui Liu, Shayan Oveis Gharan +2
We prove tight mixing time bounds for natural random walks on bases of matroids, determinantal distributions, and more generally distributions associated with log-concave polynomia…
Positively Hyperbolic Varieties, Tropicalization, and Positroids
Felipe Rincón, Cynthia Vinzant, Josephine Yu
A variety of codimension in complex affine space is called positively hyperbolic if the imaginary part of any point in it does not lie in any positive linear subspace of dimens…