ASYMPTOTIC ANALYSIS OF GAUSSIAN INTEGRALS, .2. MANIFOLD OF MINIMUM POINTS

Publication Date

1981

Journal or Book Title

COMMUNICATIONS IN MATHEMATICAL PHYSICS

Abstract

This paper derives the asymptotic expansions of a wide class of Gaussian function space integrals under the assumption that the minimum points of the action form a nondegenerate manifold. Such integrals play an important role in recent physics. This paper also proves limit theorems for related probability measures, analogous to the classical law of large numbers and central limit theorem.

Comments

The published version is located at http://www.springerlink.com/content/p36530l66053500r/

Pages

153-181

Volume

82

Issue

2

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