Wandering through infinity

A transfinite graph is a generalization of an ordinary graph. It extends beyond infinity in a manner roughly analogous to the extension of the natural numbers to the transfinite ordinals. Corresponding to random walks on ordinary graphs, the possibility exists of random walks on transfinite graphs, walks that may pass beyond infinity through 1-nodes where those 1-nodes represent connections at infinite extremities of transfinite graphs. The author summarizes a theory for transfinite random walks. Just as ordinary random walks can be based on electrical network analysis, the theory of transfinite random walks is based on transfinite electrical network analysis