Greg Blekherman
Title
Cited by
Cited by
Year
Semidefinite optimization and convex algebraic geometry
G Blekherman, PA Parrilo, RR Thomas
Society for Industrial and Applied Mathematics, 2012
4902012
There are significantly more nonegative polynomials than sums of squares
G Blekherman
Israel Journal of Mathematics 153 (1), 355-380, 2006
1192006
Bioinformatics tools for cancer metabolomics
G Blekherman, R Laubenbacher, DF Cortes, P Mendes, FM Torti, ...
Metabolomics 7 (3), 329-343, 2011
1082011
Nonnegative polynomials and sums of squares
G Blekherman
Journal of the American Mathematical Society 25 (3), 617-635, 2012
842012
On maximum, typical and generic ranks
G Blekherman, Z Teitler
Mathematische Annalen 362 (3-4), 1021-1031, 2015
802015
ADAM: analysis of discrete models of biological systems using computer algebra
F Hinkelmann, M Brandon, B Guang, R McNeill, G Blekherman, ...
BMC bioinformatics 12 (1), 295, 2011
712011
Experimental study of energy-minimizing point configurations on spheres
B Ballinger, G Blekherman, H Cohn, N Giansiracusa, E Kelly, ...
Experimental Mathematics 18 (3), 257-283, 2009
702009
Typical real ranks of binary forms
G Blekherman
Foundations of Computational Mathematics 15 (3), 793-798, 2015
452015
Algebraic boundaries of Hilbert’s SOS cones
G Blekherman, J Hauenstein, JC Ottem, K Ranestad, B Sturmfels
Compositio Mathematica 148 (6), 1717-1735, 2012
422012
On real typical ranks
A Bernardi, G Blekherman, G Ottaviani
Bollettino dell'Unione Matematica Italiana 11 (3), 293-307, 2018
332018
Convex geometry of orbits
A Barvinok, G Blekherman
Combinatorial and computational geometry 52, 51-77, 2005
332005
Sums of squares and varieties of minimal degree
G Blekherman, G Smith, M Velasco
Journal of the American Mathematical Society 29 (3), 893-913, 2016
312016
Chapter 3: Polynomial Optimization, Sums of Squares, and Applications
PA Parrilo
Semidefinite optimization and convex algebraic geometry, 47-157, 2012
282012
Convexity properties of the cone of nonnegative polynomials
G Blekherman
Discrete & Computational Geometry 32 (3), 345-371, 2004
282004
Positive gorenstein ideals
G Blekherman
Proceedings of the American Mathematical Society 143 (1), 69-86, 2015
232015
Differential gene expression in normal and transformed human mammary epithelial cells in response to oxidative stress
DF Cortes, W Sha, V Hower, G Blekherman, R Laubenbacher, S Akman, ...
Free Radical Biology and Medicine 50 (11), 1565-1574, 2011
192011
Dimensional differences between faces of the cones of nonnegative polynomials and sums of squares
G Blekherman, S Iliman, M Kubitzke
International Mathematics Research Notices 2015 (18), 8437-8470, 2015
17*2015
Sums of squares on the hypercube
G Blekherman, J Gouveia, J Pfeiffer
Mathematische Zeitschrift 284 (1-2), 41-54, 2016
152016
Real rank with respect to varieties
G Blekherman, R Sinn
Linear Algebra and its Applications 505, 344-360, 2016
142016
Convex forms that are not sums of squares
G Blekherman
arXiv preprint arXiv:0910.0656, 2009
142009
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