Abstract
A concise version of the proof for the graph theoretical representation of the exact solution of the stationary discrete masterequation is given. Further, a new algorithm is developed for the solution of stationary and nonstationary discrete masterequations with next neighbour transition probabilities in the general case without detailed balance. This algorithm reduces the dimension of the system of masterequations to the number of boundary sites and is also appropriate for computer evaluation.
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Weidlich, W. On the structure of exact solutions of discrete masterequations. Z Physik B 30, 345–353 (1978). https://doi.org/10.1007/BF01320040
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DOI: https://doi.org/10.1007/BF01320040