Asymptotic stability of a system of randomly connected transformations on Polish spaces

Katarzyna Horbacz. "Asymptotic stability of a system of randomly connected transformations on Polish spaces." Annales Polonici Mathematici 76.3 (2001): 197-211. <http://eudml.org/doc/280220>.

@article{KatarzynaHorbacz2001,
abstract = {We give sufficient conditions for the existence of a matrix of probabilities $[p_\{ik\}]_\{i,k=1\}^N$ such that a system of randomly chosen transformations $Π_k$, k = 1,...,N, with probabilities $p_\{ik\}$ is asymptotically stable.},
author = {Katarzyna Horbacz},
journal = {Annales Polonici Mathematici},
keywords = {dynamical systems; Markov operator; asymptotic stability; Polish space; sequence of continuous transformations; sequence of random variables with independent exponential increments; random dynamical system; stochastic matrix},
language = {eng},
number = {3},
pages = {197-211},
title = {Asymptotic stability of a system of randomly connected transformations on Polish spaces},
url = {http://eudml.org/doc/280220},
volume = {76},
year = {2001},
}

TY - JOUR
AU - Katarzyna Horbacz
TI - Asymptotic stability of a system of randomly connected transformations on Polish spaces
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 3
SP - 197
EP - 211
AB - We give sufficient conditions for the existence of a matrix of probabilities $[p_{ik}]_{i,k=1}^N$ such that a system of randomly chosen transformations $Π_k$, k = 1,...,N, with probabilities $p_{ik}$ is asymptotically stable.
LA - eng
KW - dynamical systems; Markov operator; asymptotic stability; Polish space; sequence of continuous transformations; sequence of random variables with independent exponential increments; random dynamical system; stochastic matrix
UR - http://eudml.org/doc/280220
ER -