##
**Zentralblatt MATH**

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

**Zbl.No: ** 704.60072

**Autor: ** Erdös, Paul; Révész, P.

**Title: ** On the area of the circles covered by a random walk. (In English)

**Source: ** Multivariate statistics and probability, Essays in Memory of Paruchuri R. Krishnaiah, 169-180 (1989).

**Review: ** [For the entire collection see Zbl 692.00014.]

This paper is concerned with the radius R(n) of the largest circle around the origin completely covered by a simple symmetric random walk in the plane which has taken n steps. A lower estimate for R(n) is given but no useful upper estimate is available.

**Reviewer: ** C.C.Heyde

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

60D05 Geometric probability

**Keywords: ** random walk; coverage

**Citations: ** Zbl 692.00014

© European Mathematical Society & FIZ Karlsruhe & Springer-Verlag