Stationary jump traffic at a single contact ($R_{i\to j}=w_{ji}{p}_i^{\mathrm{st}}$)

A directed transition count is its conditional jump rate multiplied by the occupation probability of its departure state. Net current is the forward count minus the reverse count, multiplied by the transported charge. On a stationary finite tree each edge has zero net current, although both directed counts can be nonzero. Different edges can have different traffic.