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A polynomial $p\in\mathbb{R}[z_1,\dots,z_n]$ is real stable if it has no roots in the upper-half complex plane.
The zeros of a polynomial
JH Grace · 1902
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Bemerkungen zu einem satz von jh grace über die wurzeln algebraischer gleichungen
G Szegö · 1922
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On the location of the roots of certain types of polynomials
JL Walsh · 1922
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On general minimax theorems
Maurice Sion · 1958
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Delta-matroids, jump systems, and bisubmodular polyhedra
André Bouchet and William H. Cunningham · 1995
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Hyperbolic polynomials and interior point methods for convex programming
Osman Güler · 1997
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The membership problem in jump systems
László Lovász · 1997
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Counting 1-factors in regular bipartite graphs
Alexander Schrijver · 1998
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Convex Optimization
S. Boyd and L. Vandenberghe · 2006
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Hyperbolic polynomials approach to van der waerden/schrijver-valiant like conjectures: Sharper bounds, simpler proofs and algorithmic applications
Leonid Gurvits · 2006
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Polynomials with the half-plane property and matroid theory
Petter Brändén · 2007
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Strongly polynomial and fully combinatorial algorithms for bisubmodular function minimization
S. Thomas McCormick and Satoru Fujishige · 2008
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Negative dependence and the geometry of polynomials
Julius Borcea, Petter Branden, and Thomas M. Liggett · 2009
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Multivariate Pólya-Schur classification problems in the Weyl algebra
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Unleashing the power of schrijver’s permanental inequality with the help of the bethe approximation
Lower matching conjecture, and a new proof of schrijver’s and gurvits’s theorems
Péter Csikvári · 2014
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Bounds on the permanent and some applications
Leonid Gurvits and Alex Samorodnitsky · 2014
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Effective-Resistance-Reducing Flows, Spectrally Thin Trees, and Asymmetric TSP
Nima Anari and Shayan Oveis Gharan · 2015
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The kadison-singer problem for strongly rayleigh measures and applications to asymmetric tsp
Nima Anari and Shayan Oveis Gharan · 2015
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Maximizing determinants under partition constraints
Aleksandar Nikolov and Mohit Singh · 2016
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Real stable polynomials and matroids: Optimization and counting
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L. Gurvits · 2011
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Determinantal point processes for machine learning
Alex Kulesza and Ben Taskar · 2012
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Interlacing Families II: Mixed Characteristic Polynomials and the Kadison-Singer Problem
Adam Marcus, Daniel A Spielman, and Nikhil Srivastava · 2013
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Damian Straszak and Nisheeth K. Vishnoi · 2016
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Nash social welfare, matrix permanent, and stable polynomials
Nima Anari, Shayan Oveis Gharan, Amin Saberi, and Mohit Singh · 2017
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Counting matchings in irregular bipartite graphs
Marc Lelarge · 2017
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