##
**Zentralblatt MATH**

**Publications of (and about) Paul Erdös**

**Zbl.No: ** 629.60081

**Autor: ** Erdös, Paul; Révész, P.

**Title: ** Problems and results on random walks. (In English)

**Source: ** Mathematical statistics and probability theory, Proc. 6th Pannonian Symp., Bad Tatzmannsdorf/Austria 1986, Vol. B, 59-65 (1987).

**Review: ** [For the entire collection see Zbl 625.00018.]

The authors consider the simple, symmetric random walk on the r-dimensional integer lattice. They present a number of unsolved problems together with the relevant known results; they do not give proofs but provide ample references. Together with the presented unsolved problems they indicate their beliefs on the solvability with existing methods. Among the problems covered are: favourite values, long head-runs, densities (local times) and for r > 2 path-covering problems.

**Reviewer: ** J.L.Teugels

**Classif.: ** * 60J15 Random walk

00A07 Problem books

**Keywords: ** integer lattice; favourite values; long head-runs; local times; path- covering problems

**Citations: ** Zbl 625.00018

© European Mathematical Society & FIZ Karlsruhe & Springer-Verlag