Combinatorics Hidden in Hyperbolic Polynomials and Related Topics

نویسنده

  • Leonid Gurvits
چکیده

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 direction and pose a few questions. We also give generalizations of the Obreschkoff theorem and recent results of J. Borcea and B. Shapiro.

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تاریخ انتشار 2004