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This definition suggests that a stochastic process can never have more than 1 absorbing set. I have reducible process where certain initial conditions may end up in one of two different sets, and once they enter, they never leave. According to this definition, the union of these two sets is an absorbing set, but what do I call the individual pieces? (I cannot call them irreducible subsets, as both still contain transient components.) — Preceding unsigned comment added by 71.139.152.215 (talk) 18:32, 4 August 2012 (UTC)[reply]
