Grigoriy Blekherman

发表

ADAM: Analysis of Discrete Models of Biological Systems Using Computer Algebra

Alan Veliz-Cuba, Franziska Hinkelmann, Madison Brandon, 2010, BMC Bioinformatics.

Simple Graph Density Inequalities with No Sum of Squares Proofs

Mohit Singh, Rekha R. Thomas, Grigoriy Blekherman, 2020, Comb..

Extreme rays of Hankel spectrahedra for ternary forms

Grigoriy Blekherman, Rainer Sinn, Grigoriy Blekherman, 2014, J. Symb. Comput..

Typical Real Ranks of Binary Forms

Grigoriy Blekherman, Grigoriy Blekherman, 2012, Found. Comput. Math..

Bioinformatics tools for cancer metabolomics

Reinhard Laubenbacher, Grigoriy Blekherman, Suzy V. Torti, 2011, Metabolomics.

Convexity Properties of the Cone of Nonnegative Polynomials

Grigoriy Blekherman, 2004, Discret. Comput. Geom..

Do Sums of Squares Dream of Free Resolutions?

Grigoriy Blekherman, Rainer Sinn, Mauricio Velasco, 2016, SIAM J. Appl. Algebra Geom..

Maximum Likelihood Threshold and Generic Completion Rank of Graphs

Grigoriy Blekherman, Rainer Sinn, Grigoriy Blekherman, 2017, Discret. Comput. Geom..

Experimental Study of Energy-Minimizing Point Configurations on Spheres

Achill Schürmann, Grigoriy Blekherman, Elizabeth Kelly, 2009, Exp. Math..

Bounds on regularity of quadratic monomial ideals

Jaewoo Jung, Grigoriy Blekherman, 2020, J. Comb. Theory, Ser. A.

Sums of squares and quadratic persistence on real projective varieties

Grigoriy Blekherman, Rainer Sinn, Mauricio Velasco, 2019, Journal of the European Mathematical Society.

Typical ranks in symmetric matrix completion

Grigoriy Blekherman, Kisun Lee, Daniel Irving Bernstein, 2021, Journal of Pure and Applied Algebra.

Sums of squares, Hankel index, and almost real rank

Grigoriy Blekherman, Justin Chen, Jaewoo Jung, 2021 .

Sums of Squares and Sparse Semidefinite Programming

Grigoriy Blekherman, Kevin Shu, 2021, SIAM J. Appl. Algebra Geom..

Lectures on Nonnegative Polynomials and Sums of Squares

Grigoriy Blekherman, Jannik Wesner, Grigoriy Blekherman, 2021, 2105.14315.

Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment

Grigoriy Blekherman, Raman Sanyal, Mario Kummer, 2021, International Mathematics Research Notices.

Symmetric Non-Negative Forms and Sums of Squares

Grigoriy Blekherman, Cordian Riener, Grigoriy Blekherman, 2012, Discret. Comput. Geom..

Sums of Squares: A Real Projective Story

Grigoriy Blekherman, Rainer Sinn, Mauricio Velasco, 2021, Notices of the American Mathematical Society.

Moving sidewinding forward: optimizing contact patterns for limbless robots via geometric mechanics

Howie Choset, Baxi Chong, Grigoriy Blekherman, 2021, Robotics: Science and Systems.

A Path Forward: Tropicalization in Extremal Combinatorics

Grigoriy Blekherman, Annie Raymond, 2021 .

Nonnegative Polynomials and Sums of Squares

Grigoriy Blekherman, Grigoriy Blekherman, 2010, 1010.3465.

Algebraic boundaries of Hilbert’s SOS cones

Bernd Sturmfels, Grigoriy Blekherman, Kristian Ranestad, 2011, Compositio Mathematica.

On real typical ranks

Grigoriy Blekherman, Giorgio Ottaviani, Alessandra Bernardi, 2015, 1512.01853.

Volumes of Nonnegative Polynomials, Sums of Squares and Powers of Linear Forms

Grigoriy Blekherman, 2004 .

Convex Forms that are not Sums of Squares

Grigoriy Blekherman, Grigoriy Blekherman, 2009, 0910.0656.

LOW-RANK SUM-OF-SQUARES REPRESENTATIONS ON VARIETIES OF MINIMAL DEGREE

Grigoriy Blekherman, Cynthia Vinzant, Daniel Plaumann, 2016, 1606.04387.

Dimensional Differences between Nonnegative Polynomials and Sums of Squares

Grigoriy Blekherman, Grigoriy Blekherman, 2009, 0907.1339.