# User:DVD206/On random processes

Suppose the graph G has N boundary nodes then the hitting probability matrix ${\displaystyle H(G)=\{h_{ij}\}}$ is such that the entry h(ij) equals to the probability that the next boundary vertex that a particle starting its random walk at the boundary vertex v_i occupies is the boundary vertex v_j. The columns of the matrix H(G) add up to 1. We will derive an explicit formula for the matrix H(G) in terms of the blocks of Laplace matrix L(G) of the graph G.