73 citations · 326 across the 36 of their papers we have counts for
4 papers · 1 filter
Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment
Grigoriy Blekherman, Mario Kummer, Raman Sanyal +2
A linear principal minor polynomial or lpm polynomial is a linear combination of principal minors of a symmetric matrix. By restricting to the diagonal, lpm polynomials are in bije…
Reflection groups, reflection arrangements, and invariant real varieties
Tobias Friedl, Cordian Riener, Raman Sanyal
Let be a nonempty real variety that is invariant under the action of a reflection group . We conjecture that if is defined in terms of the first basic invariants of…
The Entropic Discriminant
Raman Sanyal, Bernd Sturmfels, Cynthia Vinzant
The entropic discriminant is a non-negative polynomial associated to a matrix. It arises in contexts ranging from statistics and linear programming to singularity theory and algebr…
Orbitopes
Raman Sanyal, Frank Sottile, Bernd Sturmfels
An orbitope is the convex hull of an orbit of a compact group acting linearly on a vector space. These highly symmetric convex bodies lie at the crossroads of several fields, in pa…