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math.PR2012★ 9 cited
Conditional ergodicity in infinite dimension
Xin Thomson Tong, Ramon van Handel
The goal of this paper is to develop a general method to establish conditional ergodicity of infinite-dimensional Markov chains. Given a Markov chain in a product space, we aim to…
math.PR2011★ 11 cited
Ergodicity and stability of the conditional distributions of nondegenerate Markov chains
Xin Thomson Tong, Ramon van Handel
We consider a bivariate stationary Markov chain in a Polish state space, where only the process is presumed to be observable. The goal of this p…