Intersections of random walks in four dimensions. II (Q1070656)
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scientific article; zbMATH DE number 3938184
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Intersections of random walks in four dimensions. II |
scientific article; zbMATH DE number 3938184 |
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Intersections of random walks in four dimensions. II (English)
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1985
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Let f(n) be the probability that the paths of two simple random walks of length n starting at the origin in \(Z^ 4\) have no intersection. In part I, ibid. 86, 539-554 (1982; Zbl 0502.60057) it has been shown that f(n)\(\leq c(\log n)^{-1/2}\). Here it is proved that for all \(r>1/2\), \(\lim_{n\to \infty}(\log n)^ rf(n)=\infty\).
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intersections
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critical exponents
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