The Asymptotic Behavior for Markov Chains in a Finite i.i.d Random Environment Indexed by Cayley Trees

Huilin Huang

Abstract


We firstly define a Markov chain indexed by a homogeneous tree in a finite i.i.d random environment.
Then, we prove the strong law of
large numbers for finite Markov chains indexed by a homogeneous tree in a finite i.i.d random environment.


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