Asymptotic behaviour of stochastic semigroups.

Esther Dopazo

Extracta Mathematicae (1990)

  • Volume: 5, Issue: 3, page 112-114
  • ISSN: 0213-8743

Abstract

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The problem to be treated in this note is concerned with the asymptotic behaviour of stochastic semigroups, as the time becomes very large. The subject is largely motived by the Theory of Markov processes. Stochastic semigroups usually arise from pure probabilistic problems such as random walks stochastic differential equations and many others.An outline of the paper is as follows. Section one deals with the basic definitions relative to K-positivity and stochastic semigroups. Asymptotic behaviour of the iterations of stochastic operators is analyzed in the second section. And then it is applied to study asymptotic properties of stochastic semigroups.

How to cite

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Dopazo, Esther. "Asymptotic behaviour of stochastic semigroups.." Extracta Mathematicae 5.3 (1990): 112-114. <http://eudml.org/doc/39883>.

@article{Dopazo1990,
abstract = {The problem to be treated in this note is concerned with the asymptotic behaviour of stochastic semigroups, as the time becomes very large. The subject is largely motived by the Theory of Markov processes. Stochastic semigroups usually arise from pure probabilistic problems such as random walks stochastic differential equations and many others.An outline of the paper is as follows. Section one deals with the basic definitions relative to K-positivity and stochastic semigroups. Asymptotic behaviour of the iterations of stochastic operators is analyzed in the second section. And then it is applied to study asymptotic properties of stochastic semigroups.},
author = {Dopazo, Esther},
journal = {Extracta Mathematicae},
keywords = {Comportamiento asintótico; Semigrupo de operadores; Proceso de Markov; Operadores positivos; asymptotic behaviour of stochastic semigroups as time becomes very large; Markov processes; -positivity; iterations of stochastic operators},
language = {eng},
number = {3},
pages = {112-114},
title = {Asymptotic behaviour of stochastic semigroups.},
url = {http://eudml.org/doc/39883},
volume = {5},
year = {1990},
}

TY - JOUR
AU - Dopazo, Esther
TI - Asymptotic behaviour of stochastic semigroups.
JO - Extracta Mathematicae
PY - 1990
VL - 5
IS - 3
SP - 112
EP - 114
AB - The problem to be treated in this note is concerned with the asymptotic behaviour of stochastic semigroups, as the time becomes very large. The subject is largely motived by the Theory of Markov processes. Stochastic semigroups usually arise from pure probabilistic problems such as random walks stochastic differential equations and many others.An outline of the paper is as follows. Section one deals with the basic definitions relative to K-positivity and stochastic semigroups. Asymptotic behaviour of the iterations of stochastic operators is analyzed in the second section. And then it is applied to study asymptotic properties of stochastic semigroups.
LA - eng
KW - Comportamiento asintótico; Semigrupo de operadores; Proceso de Markov; Operadores positivos; asymptotic behaviour of stochastic semigroups as time becomes very large; Markov processes; -positivity; iterations of stochastic operators
UR - http://eudml.org/doc/39883
ER -

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