TY - JOUR
AB - The BMV conjecture for traces, which states that Tr exp(A - λB) is the Laplace transform of a positive measure, is shown to be equivalent to two other statements: (i) The polynomial λ → Tr(A + λB) p has only non-negative coefficients for all A, B ≥ 0, p ∈ ℕ and (ii) λ → Tr(A + λB)-p is the Laplace transform of a positive measure for A, B ≥ 0, p > 0.
AU - Lieb, Élliott H
AU - Robert Seiringer
ID - 2355
IS - 1-2
JF - Journal of Statistical Physics
TI - Equivalent forms of the Bessis-Moussa-Villani conjecture
VL - 115
ER -