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ArticleOriginal scientific text

Title

Strong and weak stability of some Markov operators

Authors 1

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland

Abstract

An integral Markov operator P appearing in biomathematics is investigated. This operator acts on the space of probabilistic Borel measures. Let μ and ν be probabilistic Borel measures. Sufficient conditions for weak and strong convergence of the sequence (Pnμ-Pnν) to 0 are given.

Keywords

ENG
biomathematics, weak and strong convergence of measures, Markov operators

Bibliography

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Colloquium Mathematicum
2000/84/85/1
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Pages:
255-263
Main language of publication
English
Received
1999-07-27
Accepted
2000-01-14
Published
2000
Exact and natural sciences