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UID:7409@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180119T110000
DTEND;TZID=Europe/Paris:20180119T120000
DTSTAMP:20241120T203944Z
URL:https://www.i2m.univ-amu.fr/evenements/convergence-of-mayer-and-virial
 -expansions-and-the-penrose-tree-graph-identity-aldo-procacci/
SUMMARY:Aldo Procacci (Université fédérale du Minas Gerais (UFMG)\, Bré
 sil): Convergence of Mayer and Virial expansions and the Penrose tree-grap
 h identity - Aldo Procacci
DESCRIPTION:Aldo Procacci: We establish new lower bounds for the convergenc
 e radius of the Mayer series and the Virial series of a continuous particl
 e system interacting via a stable and tempered pair potential. Our bounds 
 considerably improve those given by Penrose (J Math Phys 4:1312\, 1963) an
 d Ruelle (Ann Phys 5:109–120\, 1963) for the Mayer series and by Lebowit
 z and Penrose (J Math Phys 7:841–847\, 1964) for the Virial series. To g
 et our results\, we exploit the tree-graph identity given by Penrose (Stat
 istical mechanics: foundations and applications. Benjamin\, New York\, 196
 7) using a new partition scheme based on minimum spanning trees.\nhttps://
 arxiv.org/pdf/1508.07379.pdf\n\nhttp://www.mat.ufmg.br/~aldo/\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Aldo_Procacci.jpg
CATEGORIES:Séminaire,Probabilités
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