{"year":"2004","publisher":"Springer","date_created":"2018-12-11T11:57:11Z","volume":115,"publist_id":"4568","intvolume":"       115","oa":1,"status":"public","title":" Equivalent forms of the Bessis-Moussa-Villani conjecture","quality_controlled":0,"date_updated":"2021-01-12T06:56:59Z","month":"04","day":"01","publication":"Journal of Statistical Physics","author":[{"full_name":"Lieb, Élliott H","first_name":"Élliott","last_name":"Lieb"},{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"doi":"10.1023/B:JOSS.0000019811.15510.27","page":"185 - 190","type":"journal_article","abstract":[{"lang":"eng","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 &gt; 0."}],"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0210027"}],"_id":"2355","issue":"1-2","extern":1,"publication_status":"published","citation":{"short":"É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.","apa":"Lieb, É., &#38; Seiringer, R. (2004).  Equivalent forms of the Bessis-Moussa-Villani conjecture. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1023/B:JOSS.0000019811.15510.27\">https://doi.org/10.1023/B:JOSS.0000019811.15510.27</a>","chicago":"Lieb, Élliott, and Robert Seiringer. “ Equivalent Forms of the Bessis-Moussa-Villani Conjecture.” <i>Journal of Statistical Physics</i>. Springer, 2004. <a href=\"https://doi.org/10.1023/B:JOSS.0000019811.15510.27\">https://doi.org/10.1023/B:JOSS.0000019811.15510.27</a>.","ista":"Lieb É, Seiringer R. 2004.  Equivalent forms of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 115(1–2), 185–190.","ama":"Lieb É, Seiringer R.  Equivalent forms of the Bessis-Moussa-Villani conjecture. <i>Journal of Statistical Physics</i>. 2004;115(1-2):185-190. doi:<a href=\"https://doi.org/10.1023/B:JOSS.0000019811.15510.27\">10.1023/B:JOSS.0000019811.15510.27</a>","ieee":"É. Lieb and R. Seiringer, “ Equivalent forms of the Bessis-Moussa-Villani conjecture,” <i>Journal of Statistical Physics</i>, vol. 115, no. 1–2. Springer, pp. 185–190, 2004.","mla":"Lieb, Élliott, and Robert Seiringer. “ Equivalent Forms of the Bessis-Moussa-Villani Conjecture.” <i>Journal of Statistical Physics</i>, vol. 115, no. 1–2, Springer, 2004, pp. 185–90, doi:<a href=\"https://doi.org/10.1023/B:JOSS.0000019811.15510.27\">10.1023/B:JOSS.0000019811.15510.27</a>."},"date_published":"2004-04-01T00:00:00Z"}