{"intvolume":" 115","publist_id":"4568","volume":115,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0210027"}],"quality_controlled":0,"publication_status":"published","_id":"2355","year":"2004","extern":1,"date_updated":"2021-01-12T06:56:59Z","day":"01","status":"public","doi":"10.1023/B:JOSS.0000019811.15510.27","publication":"Journal of Statistical Physics","type":"journal_article","issue":"1-2","date_created":"2018-12-11T11:57:11Z","date_published":"2004-04-01T00:00:00Z","page":"185 - 190","title":" Equivalent forms of the Bessis-Moussa-Villani conjecture","citation":{"chicago":"Lieb, Élliott, and Robert Seiringer. “ Equivalent Forms of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics. Springer, 2004. https://doi.org/10.1023/B:JOSS.0000019811.15510.27.","ama":"Lieb É, Seiringer R. Equivalent forms of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 2004;115(1-2):185-190. doi:10.1023/B:JOSS.0000019811.15510.27","ieee":"É. Lieb and R. Seiringer, “ Equivalent forms of the Bessis-Moussa-Villani conjecture,” Journal of Statistical Physics, vol. 115, no. 1–2. Springer, pp. 185–190, 2004.","ista":"Lieb É, Seiringer R. 2004. Equivalent forms of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 115(1–2), 185–190.","mla":"Lieb, Élliott, and Robert Seiringer. “ Equivalent Forms of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics, vol. 115, no. 1–2, Springer, 2004, pp. 185–90, doi:10.1023/B:JOSS.0000019811.15510.27.","apa":"Lieb, É., & Seiringer, R. (2004). Equivalent forms of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. Springer. https://doi.org/10.1023/B:JOSS.0000019811.15510.27","short":"É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190."},"author":[{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer"}],"oa":1,"month":"04","abstract":[{"text":"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.","lang":"eng"}],"publisher":"Springer"}