We have after \( t \)-steps
$$ \begin{equation*} \boldsymbol{w}(t) = \boldsymbol{W}^t\boldsymbol{w}(0), \end{equation*} $$with \( \boldsymbol{w}(0) \) the distribution at \( t=0 \) and \( \boldsymbol{W} \) representing the transition probability matrix.