naa a22 4500 510760945 CHVBK 20180411083139.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s13163-012-0096-9 doi (NATIONALLICENCE)springer-10.1007/s13163-012-0096-9 Mukhamedov Farrukh Department of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box, 141, 25710, Kuantan, Pahang, Malaysia aut On L 1-weak ergodicity of nonhomogeneous discrete Markov processes and its applications [Elektronische Daten] [Farrukh Mukhamedov] In the present paper we investigate the L 1-weak ergodicity of nonhomogeneous discrete Markov processes with general state spaces. Note that the L 1-weak ergodicity is weaker than well-known weak ergodicity. We provide a necessary and sufficient condition for such processes to satisfy the L 1-weak ergodicity. Moreover, we apply the obtained results to establish L 1-weak ergodicity of discrete time quadratic stochastic processes. As an application of the main result, certain concrete examples are also provided. Revista Matemática Complutense, 2012 Weak ergodicity nationallicence Nonhomogeneous discrete Markov process nationallicence TheDoeblin's Condition nationallicence Quadratic stochastic process nationallicence Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 799-813 1139-1138 26:2<799 2013 26 13163 https://doi.org/10.1007/s13163-012-0096-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-012-0096-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mukhamedov Farrukh Department of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box, 141, 25710, Kuantan, Pahang, Malaysia aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 799-813 1139-1138 26:2<799 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer