Beyond the Gaussian

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...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2011
Автор: Fujii, K.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2011
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/146791
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Beyond the Gaussian / K. Fujii // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 7 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
Опис
Резюме: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.