L. Gurvits

activity

20022008

most citedHigh-resolution double morphology of the most distant known radio quasar at z=6.12

45 citations · 187 across the 15 of their papers we have counts for

collaborators

Showing 2004 · math.COShow all

3 papers · 2 filters

math.CO2004★ 8 cited

Van der Waerden Conjecture for Mixed Discriminants

Leonid Gurvits

We prove that the mixed discriminant of doubly stochastic $n$ -tuples of semidefinite hermitian $n \times n$ matrices is bounded below by $\frac{n !}{n ^{n}}$ and that this bound is u…

math.CO2004★ 24 cited

Combinatorial and algorithmic aspects of hyperbolic polynomials

Leonid Gurvits

Let $p (x_{1}, ..., x_{n}) = \sum_{(r_{1}, ..., r_{n}) \in I_{n, n}} a_{(r_{1}, ..., r_{n})} \prod_{1 \leq i \leq n} x_{i}^{r_{i}}$ be homogeneous polynomial of degree $n$ in $n$ real variables with in…

math.CO2004★ 12 cited

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…