WebFor this reason, we can refer to a communicating class as a “recurrent class” or a “transient class”. If a Markov chain is irreducible, we can refer to it as a “recurrent Markov chain” or a “transient Markov chain”. Proof. First part. Suppose i ↔ j and i is recurrent. Then, for some n, m we have pij(n), pji(m) > 0.
Hermite polynomials recurrence relation - Mathematics Stack …
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