Transition

Definition

${\mathbf{\mu }}_{t+1}={\mathbf{P}}^{⊺{\mathbf{\mu }}_t}\iff {\mathbf{\mu }}_{t+1}^{⊺}={\mathbf{\mu }}_t^{⊺}\mathbf{P}$

where $\mathbf{\mu }$ is the distribution of states and $\mathbf{P}$ is Transition Matrix