A mathematical flat integral realization and a large deviation result for the free Euclidean field (Q2563463)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A mathematical flat integral realization and a large deviation result for the free Euclidean field |
scientific article |
Statements
A mathematical flat integral realization and a large deviation result for the free Euclidean field (English)
0 references
16 June 1997
0 references
A nonstandard construction, in terms of \(S\)-white noise, of the free Euclidean field measure, providing a flat integral realization like Cutland's realization of Wiener measure [\textit{N. J. Cutland}, J. Lond. Math. Soc., II. Ser. 35, 202-216 (1987; Zbl 0611.28006)] is used to prove a Cameron-Martin formula for translations and a Schilder type large deviation principle.
0 references
nonstandard analysis
0 references
flat integral
0 references
Wiener measure
0 references
Cameron-Martin formula
0 references
Schilder type large deviation principle
0 references
0 references
