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ArticleOriginal scientific text

Title

On asymptotic cyclicity of doubly stochastic operators

Authors 1

Affiliations

  1. Department of Mathematics, University of South Africa, P.O. Box 392, Pretoria 0003, South Africa

Abstract

It is proved that a doubly stochastic operator P is weakly asymptotically cyclic if it almost overlaps supports. If moreover P is Frobenius-Perron or Harris then it is strongly asymptotically cyclic.

Keywords

ENG
mixing, doubly stochastic operator, asymptotic stability

Bibliography

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Annales Polonici Mathematici
1999/72/2
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Pages:
145-152
Main language of publication
English
Received
1998-08-26
Accepted
1999-07-20
Published
1999
Exact and natural sciences