Let X be a Markov chain with a state s that is absorbing, i.e. pss(1) = 1. All other states(adsbygoogle = window.adsbygoogle || []).push({});

communicate with s i.e. i → s for all states i ∈ S. Show that all states in S except s are

transient.

I understand this intuitively, but I'm not really sure how to start the proof.

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# Show all other states are transient in Markov chain

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