Waiting-Time Distribution of Periodic One-Dimensional Random Walks

In this paper, a mathematical method for recovering the waiting-time distribution of a multiple internal state process from its rate constants is presented. In this method, following the basic idea of Monte Carlo simulation, we assume that each of the internal transition processes has an exponential distribution. Since the waiting-time distribution includes more information than the transition rates, the method provided in this paper might be useful for understanding multi-state biophysical and biochemical processes.