Abstract
This paper constructs a collection of probability vectors $\varphi_n$ for all $n\in\mathbf{Z}$ and a stochastic matrix $Q$ on a countable state space so that (1) $$Q(i, j) > 0 \text{for all} i, j$$, (2) $$\varphi_nQ = \varphi_{n+1} \text{for all} n\in\mathbf{Z}$$, (3) $$\varphi_n = \varphi_{n+1} \text{for all} n \geqq 0; _{\varphi-1} \neq \varphi_0$$.
Citation
Steven Kalikow. "An Entrance Law which Reaches Equilibrium." Ann. Probab. 5 (3) 467 - 469, June, 1977. https://doi.org/10.1214/aop/1176995807
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