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In this paper we find nonasymptotic exponential upper bounds for the deviation in the ergodic theorem for families of homogeneous Markov processes. We find some sufficient conditions for geometric e...
We prove that ergodicity and weak mixing coincide for the class of stationary symmetric semistable processes and give several characterizations of ergodic semistable processes.
Various notions of geometric ergodicity for Markov chains on general state spaces exist. In this paper, we review certain relations and implications among them. We then apply these results to a collec...
This note extends the work of Foss and Tweedie (1998), who showed that availability of the classic Coupling from the Past (CFTP) algorithm of Propp and Wilson (1996) is essentially equivalent to unifo...
For a general attractive Probabilistic Cellular Automata on SZ^d, we prove that the (time-) convergence towards equilibrium of this Markovian parallel dynamics, exponentially fast in the uniform norm,...
This paper considers the stability and ergodicity of an adaptive random walk Metropolis algorithm. The algorithm adjusts the scale of the symmetric proposal distribution continuously, based on the o...
Let P be a Markov tranition kernel on a state space X equipped with a countably generated σ-field X. For a control function f : X → [1,∞), the f-total variation or f-norm of a signed measure μ on X ...

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