Directed polymers in a random environment: Path localization and strong disorder (Q1431538)
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scientific article; zbMATH DE number 2072459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Directed polymers in a random environment: Path localization and strong disorder |
scientific article; zbMATH DE number 2072459 |
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Directed polymers in a random environment: Path localization and strong disorder (English)
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10 June 2004
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Directed polymers in a random environment are investigated. Using martingale decomposition and martingale analysis there are proven: equivalence between the decay rate of the partition function and some natural localization properties of the path; some quantitative estimates of the decay of the partition function in one or two dimensions, or at sufficiently low temperature; the existence of quenched free energy. In particular, the results of Carmona and Hu are generalized to general environments.
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directed polymers
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martingales
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random environment
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