Topics: State Set - Stochastic Process


An ergodic set with a single element is called an absorbing set. This single element of an absorbent set is called an absorbing state.

It is called so because once we reach such a state, it absorbs the process and it will remain there forever.

A Markov chain whose every non-transitory state is absorbing is also said to be absorbing.


Note that a state is absorbing if .