## Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  774.60036
Autor:  Erdös, Paul; Révész, P.
Title:  Three problems on the random walk in Zd. (In English)
Source:  Stud. Sci. Math. Hung. 26, No.2/3, 309-320 (1991).
Review:  A simple symmetric random walk in Zd is considered. The following three functionals are studied and their asymptotic behaviour is analysed:
Rd(n): Largest integer for which there exists a random variable u such that all the points in the ball of radius Rd(n) centered at u are visited by time n (d \geq 3).
\nud(n): Time needed, after time n, to visit a point not previously visited.
fn: Cardinality of the set of favourite values'', i.e. sites most often visited by time n.
Reviewer:  B.Bassan (Milano)
Classif.:  * 60F15 Strong limit theorems
60G50 Sums of independent random variables
00A07 Problem books
60J15 Random walk
Keywords:  symmetric random walk

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