1 citations · 2 across the 8 of their papers we have counts for
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Tropicalizing Principal Minors of Positive Definite Matrices
Abeer Al Ahmadieh, Felipe Rincón, Cynthia Vinzant +1
We study the tropicalization of the image of the cone of positive definite matrices under the principal minors map. It is a polyhedral subset of the set of -concave functions on…
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…
Log-Concave Polynomials III: Mason's Ultra-Log-Concavity Conjecture for Independent Sets of Matroids
Nima Anari, Kuikui Liu, Shayan Oveis Gharan +1
We give a self-contained proof of the strongest version of Mason's conjecture, namely that for any matroid the sequence of the number of independent sets of given sizes is ultra lo…
Semi-inverted linear spaces and an analogue of the broken circuit complex
Georgy Scholten, Cynthia Vinzant
The image of a linear space under inversion of some coordinates is an affine variety whose structure is governed by an underlying hyperplane arrangement. In this paper, we generali…