395 citations · 2.7k across the 108 of their papers we have counts for
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Better bound on the exponent of the radius of the multipartite separable ball
Leonid Gurvits, Howard Barnum
We show that for an m-qubit quantum system, there is a ball of radius asymptotically approaching kappa 2^{-gamma m} in Frobenius norm, centered at the identity matrix, of separable…
The VSOP 5 GHz AGN Survey: III. Imaging Results for the First 102 Sources
W. K. Scott, E. B. Fomalont, S. Horiuchi +17
The VSOP mission is a Japanese-led project to study radio sources with sub-milliarcsec resolution using an orbiting 8 m telescope, HALCA, along with global arrays of Earth-based te…
Van der Waerden Conjecture for Mixed Discriminants
Leonid Gurvits
We prove that the mixed discriminant of doubly stochastic -tuples of semidefinite hermitian matrices is bounded below by and that this bound is u…
On Matrix Polynomials with Real Roots
Leonid Gurvits, Leiba Rodman
It is proved that the roots of combinations of matrix polynomials with real roots can be recast as eigenvalues of combinations of real symmetric matrices, under certain hypotheses.…
Combinatorial and algorithmic aspects of hyperbolic polynomials
Leonid Gurvits
Let be homogeneous polynomial of degree in real variables with in…
Combinatorics hidden in hyperbolic polynomials and related topics
Leonid Gurvits
The main topic of this paper is various "hyperbolic" generalizations of the Edmonds-Rado theorem on the rank of intersection of two matroids. We prove several results in this direc…