A multi-time Markov renewal theory on partially ordered lattices is developed, yielding stratified inverse-renewal limits that are Gaussian on single-coordinate cells and non-Gaussian minima on interfaces, plus exact-time local theorems and Markovian augmentation criteria.
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Multi-time Markov renewal chains and stratified renewal theorems
A multi-time Markov renewal theory on partially ordered lattices is developed, yielding stratified inverse-renewal limits that are Gaussian on single-coordinate cells and non-Gaussian minima on interfaces, plus exact-time local theorems and Markovian augmentation criteria.