Law of large numbers for Wiener measure with density having two large deviation minimizers (Q841455)
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scientific article; zbMATH DE number 5604248
| Language | Label | Description | Also known as |
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| English | Law of large numbers for Wiener measure with density having two large deviation minimizers |
scientific article; zbMATH DE number 5604248 |
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Law of large numbers for Wiener measure with density having two large deviation minimizers (English)
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16 September 2009
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This paper discusses the situation that the large deviation rate functional has two distinct minimizers, for a model described by Wiener measures with certain densities involving a scaling The motivation comes from the study of the so-called \(\nabla\varphi\) interface model with weak self potentials. The pinned Wiener measures case was discussed by \textit{T. Funaki} [Electron. Commun. Probab. 12, 173--183, electronic only (2007; Zbl 1128.60021)].
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