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A note on the critical dimension for weakly self avoiding walks - MaRDI portal

A note on the critical dimension for weakly self avoiding walks (Q1094763)

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scientific article; zbMATH DE number 4026492
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A note on the critical dimension for weakly self avoiding walks
scientific article; zbMATH DE number 4026492

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    A note on the critical dimension for weakly self avoiding walks (English)
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    1988
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    We consider a weakly self-avoiding T-step random walk on \(Z^ d\) with possible nonnearest neighbor jumps. We prove that for \(d\geq 3\), the scaling limit of the end point is Cauchy distributed as \(T\to \infty\).
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    self-avoiding random walk
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    critical dimension
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    stable process
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