What is the difference between a recurrent state and a transient state in a Markov Chain?

Difference between Recurrent state and Transient state in Markov Chain

i) A state ‘i’ is called Recurrent, if we go from that state to any other state ‘j’, then there is at least one path to return back to ‘i’.

On the other hand, there will be at least one state ‘j’, to which we can go from state ‘i’, but can not return to ‘i’. then state ‘i’ in this case Transient.

 

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