 Transient state

A state is transient when its probability of ever returning is less than one.

This is the alternative to a recurrent state for the return behavior of a Markov chain.

The term "transient state" can refer to different concepts depending on the context. Here are a few common interpretations: 1. **In Systems Theory**: In the context of systems analysis and control theory, a transient state refers to the period during which a system responds to a change before reaching a steady state or equilibrium. During this phase, the system's behavior may be unstable or oscillatory as it adjusts to new conditions.