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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 272, Pages 65–83 (Mi tm3251)  
This article is cited in 4 scientific papers (total in 4 papers)

Logarithmic potential $\beta$-ensembles and Feynman graphs

L. O. Chekhovabcd

a Alikhanov Institute for Theoretical and Experimental Physics, Moscow, Russia
b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
c Laboratoire J.-V. Poncelet, Moscow, Russia
d Concordia University, Montreal, Quebec, Canada
Full-text PDF (282 kB) Citations (4)
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Abstract: We present a diagrammatic technique for calculating the free energy of the matrix eigenvalue model (the model with an arbitrary power of the Vandermonde determinant) to all orders of the $1/N$ expansion in the case when the limiting eigenvalue distribution spans an arbitrary (but fixed) number of disjoint intervals (curves) and when logarithmic terms are present. This diagrammatic technique is corrected and refined as compared to our first paper with B. Eynard of 2006.
Received in September 2010
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 272, Pages 58–74
DOI: https://doi.org/10.1134/S008154381101007X
Bibliographic databases:
Document Type: Article
UDC: 530.145
Language: Russian
Citation: L. O. Chekhov, “Logarithmic potential $\beta$-ensembles and Feynman graphs”, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 272, MAIK Nauka/Interperiodica, Moscow, 2011, 65–83; Proc. Steklov Inst. Math., 272 (2011), 58–74
Citation in format AMSBIB
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\paper Logarithmic potential $\beta$-ensembles and Feynman graphs
\inbook Problems of modern theoretical and mathematical physics: Gauge theories and superstrings
\bookinfo Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday
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\pages 65--83
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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