ASYMPTOTIC ANALYSIS OF GAUSSIAN INTEGRALS .1. ISOLATED MINIMUM POINTS

Authors

RS Ellis, University of Massachusetts - AmherstFollow
JS ROSEN

Publication Date

1982

Journal or Book Title

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

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 are isolated. Degenerate as well as nondegenerate minimum points are allowed. This paper also derives limit theorems for related probability measures which correspond roughly to the law of large numbers and the central limit theorem. In the degenerate case, the limits are non-Gaussian.

Comments

The published version is located at http://www.jstor.org/stable/1999924

Pages

447-481

Volume

273

Issue

2

Recommended Citation

Ellis, RS and ROSEN, JS, "ASYMPTOTIC ANALYSIS OF GAUSSIAN INTEGRALS .1. ISOLATED MINIMUM POINTS" (1982). TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 358.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/358