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The Lax conjecture is true

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arxiv math/0304104 v2 pith:FG6OQCPO submitted 2003-04-08 math.OC

Adrian S. Lewis , Pablo A. Parrilo , Motakuri V. Ramana This is my paper · ORCID
classification math.OC
keywords conjecturethreecombinationsconjectureddeterminantsequivalentheltonhyperbolic
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In 1958 Lax conjectured that hyperbolic polynomials in three variables are determinants of linear combinations of three symmetric matrices. This conjecture is equivalent to a recent observation of Helton and Vinnikov.

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  1. The Lorentzian geometry of relaxation

    nucl-th 2026-07 accept novelty 8.0 of 10

    Causality forces purely relaxational dispersion relations to follow spacelike trajectories on the Lorentzian {iω,ik} plane, producing universal bounds on diffusivity, viscosity, time-dilation deviations, and hydrodyna...

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