Intersections of random walks in four dimensions. II
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 \(r>1/2\), \(\lim_{n\to \infty}(\log n)^ rf(n)=\infty\).
scientific article; zbMATH DE number 3938184