Boundary Theory for Recurrent Markov Chains
نویسندگان
چکیده
منابع مشابه
i?-THEORY FOR MARKOV CHAINS
If {Xn} is a discrete-time ^-irreducible Markov chain on a measure space (#*, 3?) [4; p. 4], with «-step transition probabilities P"(x, A), it has been shown in [5] that there exists a subset ^R of 3F with the property that, for every Ae^R and 0-almost all x € W, the power series J^P(x, A)z" have the same radius of convergence R. Moreover, there is a countable partition of 2£ all of whose eleme...
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1 (Couplings and monotonicity). A coupling of two or more random variables is nothing but a simultaneous reconstruction of (copies of) the variables in the same probability model. For example, let X and Y are Bernoulli random variables each taking values 0 and 1 with probability 1/2. We can construct a coupling (X̃, Ỹ ) of X and Y by generating a uniform random variable Z over the set {00, 01, 1...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1963
ISSN: 0002-9947
DOI: 10.2307/1993756