On hitting times of random walks on trees
Random walks are considered in a simple graph modelling an electric network with resistances \(r(i,j)\), or equivalently conductances \(c(i,j)=1/r(i,j)\), defined on the edges. Transition probabilities are proportional to conductances. By using Ohm's law and Kirchhoff's law, electric interpretations can be given to the expected hitting times of the random walk. Simple formulas are given for trees.
scientific article; zbMATH DE number 5522939