Strong and weak stability of some Markov operators

Ryszard Rudnicki

Colloquium Mathematicae (2000)

  • Volume: 84/85, Issue: 1, page 255-263
  • ISSN: 0010-1354

Abstract

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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 ( P n μ - P n ν ) to 0 are given.

How to cite

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Rudnicki, Ryszard. "Strong and weak stability of some Markov operators." Colloquium Mathematicae 84/85.1 (2000): 255-263. <http://eudml.org/doc/210804>.

@article{Rudnicki2000,
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 $(P^\{n\}μ-P^\{n\}ν)$ to $0$ are given.},
author = {Rudnicki, Ryszard},
journal = {Colloquium Mathematicae},
keywords = {biomathematics; weak and strong convergence of measures; Markov operators},
language = {eng},
number = {1},
pages = {255-263},
title = {Strong and weak stability of some Markov operators},
url = {http://eudml.org/doc/210804},
volume = {84/85},
year = {2000},
}

TY - JOUR
AU - Rudnicki, Ryszard
TI - Strong and weak stability of some Markov operators
JO - Colloquium Mathematicae
PY - 2000
VL - 84/85
IS - 1
SP - 255
EP - 263
AB - 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 $(P^{n}μ-P^{n}ν)$ to $0$ are given.
LA - eng
KW - biomathematics; weak and strong convergence of measures; Markov operators
UR - http://eudml.org/doc/210804
ER -

References

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