Markov chains in a field of traps

Mathematics – Probability

Scientific paper

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Scientific paper

A general criterion is given for when a Markov chain trapped with
probability p(x) in state x will be almost surely trapped. The quenched (state
x is a trap forever with probability p(x)) and annealed (state x traps with
probability p(x) on each visit) problems are shown to be equivalent.

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