The scaling limit of self-avoiding random walk in high dimensions (Q1115016)
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scientific article; zbMATH DE number 4086685
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The scaling limit of self-avoiding random walk in high dimensions |
scientific article; zbMATH DE number 4086685 |
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The scaling limit of self-avoiding random walk in high dimensions (English)
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1989
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The Brydges-Spencer lace expansion is used to prove that the scaling limit of the finite-dimensional distributions of self-avoiding random walk in the d-dimensional cubic lattice \({\mathbb{Z}}^ d\) is Gaussian, if d is sufficiently large. It is also shown that the critical exponent \(\gamma\) for the number of self-avoiding walks is equal to 1, if d is sufficiently large.
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lace expansion
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self-avoiding random walk
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lattice
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critical exponent
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