The matrix is yours to perturb

Drag any cell up or down to change a transition probability. Rows renormalise to 1. Watch the stationary distribution π migrate — the long-run state the system forgets its way into.

Transition matrix P · drag cells

Pij = probability of moving state i \u2192 j

Stationary distribution π · πP = π

Computed by power iteration on your live matrix.
Rename the states in your head: market regimes, weather, trust levels, molecular sites. The mathematics does not care — that is the whole point.