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.
Pages
153-181
Volume
82
Issue
2
Recommended Citation
Ellis, RS and ROSEN, JS, "ASYMPTOTIC ANALYSIS OF GAUSSIAN INTEGRALS, .2. MANIFOLD OF MINIMUM POINTS" (1981). COMMUNICATIONS IN MATHEMATICAL PHYSICS. 361.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/361
Comments
The published version is located at http://www.springerlink.com/content/p36530l66053500r/