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List of works by Pablo Parrilo

A PTAS for the minimization of polynomials of fixed degree over the simplex

scientific article published in 2006

A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function

article published in 2011

Approximate cone factorizations and lifts of polytopes

scientific article published in 2015

Design of photonic crystals with multiple and combined band gaps.

scientific article published on 6 April 2011

Detecting multipartite entanglement

scientific article (publication date: 22 March 2005)

Distinguishing Separable and Entangled States

scientific article published in Physical Review Letters

Efficient classification of complete parameter regions based on semidefinite programming

scientific article

Fastest Mixing Markov Chain on Graphs with Symmetries

scientific article published in 2009

Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization

scientific article published in 2010

Lifts of Convex Sets and Cone Factorizations

scientific article published in 2013

Quantum algorithms for the ordered search problem via semidefinite programming ⬇️

Semidefinite programming relaxations for semialgebraic problems

scientific article published in 2003

The 2013 Newton Institute Programme on polynomial optimization

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