TY - JOUR
T1 - Uniform ergodicities and perturbation bounds of Markov chains on ordered Banach spaces
AU - Ozcan, Nazife Erkursun
AU - Mukhamedov, Farrukh
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2017/4/3
Y1 - 2017/4/3
N2 - In this paper, we consider uniformly mean ergodic and uniformly asymptotical stable Markov operators on ordered Banach spaces. In terms of the ergodicity coefficient, we show the equivalence of uniform and weak mean ergodicities of Markov operators. This result allowed us to establish a category theorem for uniformly mean ergodic Markov operators. Furthermore, using properties of the ergodicity coefficient, we develop the perturbation theory for uniformly asymptotical stable Markov chains in the abstract scheme.
AB - In this paper, we consider uniformly mean ergodic and uniformly asymptotical stable Markov operators on ordered Banach spaces. In terms of the ergodicity coefficient, we show the equivalence of uniform and weak mean ergodicities of Markov operators. This result allowed us to establish a category theorem for uniformly mean ergodic Markov operators. Furthermore, using properties of the ergodicity coefficient, we develop the perturbation theory for uniformly asymptotical stable Markov chains in the abstract scheme.
UR - http://www.scopus.com/inward/record.url?scp=85018749770&partnerID=8YFLogxK
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U2 - 10.1088/1742-6596/819/1/012015
DO - 10.1088/1742-6596/819/1/012015
M3 - Conference article
AN - SCOPUS:85018749770
SN - 1742-6588
VL - 819
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012015
T2 - 37th International Conference on Quantum Probability and Related Topics, QP 2016
Y2 - 22 August 2016 through 26 August 2016
ER -