Equivalent forms of the Bessis-Moussa-Villani conjecture

DOI10.1023/B:JOSS.0000019811.15510.27zbMath1157.81313arXivmath-ph/0210027OpenAlexW1977643670WikidataQ123364136 ScholiaQ123364136MaRDI QIDQ1011344

Elliott H. Lieb, Robert Seiringer

Publication date: 8 April 2009

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0210027

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items

Trace functions as Laplace transforms ⋮ On D. Hägele's approach to the Bessis-Moussa-Villani conjecture ⋮ Asymptotic positivity of Hurwitz product traces: two proofs ⋮ Sparse noncommutative polynomial optimization ⋮ The BMV-conjecture over quaternions and octonions ⋮ Proof of the cases \(p \leq 7\) of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture ⋮ More on operator monotone and operator convex functions of several variables ⋮ Proof of the BMV conjecture ⋮ FREE ENERGY DENSITY FOR MEAN FIELD PERTURBATION OF STATES OF A ONE-DIMENSIONAL SPIN CHAIN ⋮ Large deviations and Chernoff bound for certain correlated states on a spin chain ⋮ The Wigner distribution of n arbitrary observables ⋮ Further implications of the Bessis-Moussa-Villani conjecture ⋮ Sum-of-squares results for polynomials related to the Bessis-Moussa-Villani conjecture ⋮ On the positivity of the coefficients of a certain polynomial defined by two positive definite matrices ⋮ Advances on the Bessis-Moussa-Villani trace conjecture ⋮ Sums of Hermitian squares and the BMV conjecture ⋮ A new series of conjectures and open questions in optimization and matrix analysis ⋮ Sums of Hermitian squares as an approach to the BMV conjecture ⋮ NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials ⋮ Optimization over trace polynomials ⋮ A note on the nonexistence of sum of squares certificates for the Bessis–Moussa–Villani conjecture ⋮ Principal minor sums of \((A + tB)^m\) ⋮ A hyper-geometric approach to the BMV-conjecture