Path statistics, memory, and coarse-graining of continuous-time random walks on networks

This paper provides the theoretical background of a recursive method for calculating the statistics of the path ensemble on arbitrary state-spaces. A Python implementation is also developed and demonstrated on several example systems. The statistics calculated include the moments of the first-passage distribution, the full path-length distribution, and several system state-dependent quantites.

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Michael Manhart, Willow Kion-Crosby, and Alexandre V. Morozov

J Chem Phys. 2015 Dec 7;143(21):214106