Further Implications of the Bessis–Moussa–Villani Conjecture

@article{Lieb2012FurtherIO,
  title={Further Implications of the Bessis–Moussa–Villani Conjecture},
  author={E. Lieb and R. Seiringer},
  journal={Journal of Statistical Physics},
  year={2012},
  volume={149},
  pages={86-91}
}
We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function $\lambda\mapsto \operatorname {Tr}\exp(\mathsf {A}-{\lambda }\mathsf {B})$ is the Laplace transform of a positive measure supported on [0,∞]. 
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