Figure 2

The emitting model counts visits from sources. Using the example network from with the same damping factor, consider the case where 1000 random walkers start at the source node indicated by a hexagon. At each time step, some random walkers leave the network due to damping or by moving back to the source. In the first five graphs, the number in each node documents the total number of visits to that node from all random walkers, dissipated or not, up to the indicated time. The value of H _si  returned by the ITM Probe emitting mode (s here denotes the source node) yields the expected number of visits to node i per random walker that starts at s over infinitely many time steps. The final graph shows the values of H _si  for this context, scaled by 1000. Note that the magnitude shown for one transient node is greater than 1000 because a walker may visit the same node multiple times.