On $L_1$-weak ergodicity of nonhomogeneous continuous-time Markov‎ ‎processes

Document Type : Research Paper

Author

International Islamic University of Malaysia

Abstract

‎In the present paper we investigate the $L_1$-weak ergodicity of‎
‎nonhomogeneous continuous-time Markov processes with general state‎
‎spaces‎. ‎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 quadratic‎
‎stochastic processes‎.

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