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- W2007290198 abstract "A new formulation of first passage problems is suggested. We consider that the independent variable may be either the number of transition events q or the first passage time θ. The joint probability density of q and θ and the corresponding moments are evaluated for two cases: a) time inhomogeneous jump Markov processes and b) non-Markovian jump processes described by a system of age-dependent master equations (ADME, Vlad et al., Phys. Lett. A 100 (1984) 387). The results are applied to a two-state system comprising “non-step” and “inter-state” transition events. If the frequency of “non-step” transition events is much greater than the frequency of “inter-state” transition events, the random variables q and θ are strongly correlated." @default.
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- W2007290198 title "First passage step count number versus first passage time in age-dependent dynamics" @default.
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- W2007290198 doi "https://doi.org/10.1016/0378-4371(89)90098-8" @default.
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