Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via Operator Scaling

Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three

(2016) Jean Bourgain et al.   ANNALS OF MATHEMATICS

Mean value estimates for Weyl sums in two dimensions

(2016) Jean Bourgain et al.   JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

Fractional Sylvester-Gallai theorems

(2012) B. Barak et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

The Brascamp-Lieb Polyhedron

(2010) Stefán Ingi Valdimarsson   CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES

Nonnegative tensor factorization as an alternative Csiszar–Tusnady procedure: algorithms, convergence, probabilistic interpretations and novel probabilistic tensor latent variable analysis algorithms

(2010) Stefanos Zafeiriou et al.   DATA MINING AND KNOWLEDGE DISCOVERY

Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis

(2010) Jonathan Bennett et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Geometric Brascamp–Lieb Has the Optimal Best Constant

(2010) Stefán Ingi Valdimarsson   JOURNAL OF GEOMETRIC ANALYSIS

Subadditivity of The Entropy and its Relation to Brascamp–Lieb Type Inequalities

(2009) Eric A. Carlen et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS