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On a random mapping (T, Pj)

Published online by Cambridge University Press:  14 July 2016

Jerzy Jaworski
Jerzy Jaworski*
Affiliation:
Adam Mickiewicz University, Poznań
*
∗ Postal address: Institute of Mathematics, Adam Mickiewicz University, Matejki 48/49, 60–769 Poznań, Poland.
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Abstract

A random mapping (T,Pj) of a finite set V into itself is studied. We give a new proof of the fundamental lemma of [6]. Our method leads to the derivation of several results which cannot be deduced from [6]. In particular we determine the distribution of the number of components, cyclical points and ancestors of a given point.

Keywords

RANDOM GRAPH
Type
Short Communications
Information
Journal of Applied Probability , Volume 21 , Issue 1 , March 1984 , pp. 186 - 191
Copyright
Copyright © Applied Probability Trust 1984 

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References

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