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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 022, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.022 (Mi sigma580) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Beyond the Gaussian

Kazuyuki Fujii

Department of Mathematical Sciences, Yokohama City University, Yokohama, 236-0027 Japan
Full-text PDF (298 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2011.022
Abstract: In this paper we present a non-Gaussian integral based on a cubic polynomial, instead of a quadratic, and give a fundamental formula in terms of its discriminant. It gives a mathematical reinforcement to the recent result by Morozov and Shakirov. We also present some related results. This is simply one modest step to go beyond the Gaussian but it already reveals many obstacles related with the big challenge of going further beyond the Gaussian.
Keywords: non-Gaussian integral; renormalized integral; discriminant; cubic equation.
Received: January 12, 2011; in final form February 28, 2011; Published online March 4, 2011
Bibliographic databases:
Document Type: Article
MSC: 11D25; 11R29; 26B20; 81Q99
Language: English
Citation: Kazuyuki Fujii, “Beyond the Gaussian”, SIGMA, 7 (2011), 022, 12 pp.
Citation in format AMSBIB
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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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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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