Dette, Holger; Studden, William J. - In: Stochastic Processes and their Applications 64 (1996) 1, pp. 17-30
We consider the class of simple random walks or birth and death chains on the nonnegative integers. The set of return probabilities Pn00, n [greater-or-equal, slanted] 0, uniquely determines the spectral measure of the process. We characterize the class of simple random walks with the same...