title: Discrete-time random walks on diagrams (graphs) with cycles.
abstract: After a review of the diagram method for continuous-time random walks on graphs with cycles, the method is extended to discrete-time random walks. The basic theorems carry over formally from continuous time to discrete time. Three problems in tennis probabilities are used to illustrate random walks on discrete-time diagrams with cycles.
mesh_terms: D006801:Humans; D008433:Mathematics; D011336:Probability; D013997:Time Factors