Integrable system of the heat kernel associated with logarithmic potentials

• Autorzy: Kazuhiko Aomoto
• Języki publikacji: EN

Abstrakty

EN

The heat kernel of a Sturm-Liouville operator with logarithmic potential can be described by using the Wiener integral associated with a real hyperplane arrangement. The heat kernel satisfies an infinite-dimensional analog of the Gauss-Manin connection (integrable system), generalizing a variational formula of Schläfli for the volume of a simplex in the space of constant curvature.

Słowa kluczowe

EN

Wiener integral; logarithmic potentials; Feynman-Kac formula; integrable system

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 74
• Numer: 1
• Strony: 51-64

Daty

wydano

2000

otrzymano

1999-09-01

Twórcy

autor

Kazuhiko Aomoto

• Graduate School of Mathematics, Nagoya University, Furo-cho 1, Chikusa-ku, Nagoya, Japan

Bibliografia

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