The infinite self-avoiding walk in high dimensions (Q582701)
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scientific article; zbMATH DE number 4131387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The infinite self-avoiding walk in high dimensions |
scientific article; zbMATH DE number 4131387 |
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The infinite self-avoiding walk in high dimensions (English)
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1989
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A measure on infinite self-avoiding random walks on \({\mathbb{Z}}^ d\) is defined which is the limit of the uniform measure on finite self-avoiding walks. It is shown that this limit exists for walks with d sufficiently large using methods of \textit{G. Slade} [Commun. Math. Phys. 110, 661-683 (1987; Zbl 0628.60073)] and \textit{D. Brydges} and \textit{T. Spencer} [ibid. 97, 125-148 (1985; Zbl 0575.60099)].
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self-avoiding random walks
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