Abstract
This is the first part of a work on Laplace method for the asymptotics of integrals with respect to smooth measures and a large parameter developed in infinite dimensions. Here the case of finitely many (nondegenerate) minimum points is studied in details. Applications to large parameters behavior of expectations with respect to probability measures occurring in the study of systems of statistical mechanics and quantum field theory are mentioned.
| Original language | English |
|---|---|
| Pages (from-to) | 529-556 |
| Journal | Infinite Dimensional Analysis, Quantum Probability and Related Topics |
| Volume | 4 |
| Issue number | 2 |
| State | Published - 1999 |