no. 2
Uniform and ratio limit theorems for Markov renewal and semi-regenerative processes on a general state space
Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 14 (1978) no. 2, pp. 119-143. 
@article{AIHPB_1978__14_2_119_0,
     author = {Nummelin, E.},
     title = {Uniform and ratio limit theorems for {Markov} renewal and semi-regenerative processes on a general state space},
     journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques},
     pages = {119--143},
     publisher = {Gauthier-Villars},
     volume = {14},
     number = {2},
     year = {1978},
     mrnumber = {507729},
     zbl = {0402.60087},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1978__14_2_119_0/}
}
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Nummelin, E. Uniform and ratio limit theorems for Markov renewal and semi-regenerative processes on a general state space. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 14 (1978) no. 2, pp. 119-143. http://www.numdam.org/item/AIHPB_1978__14_2_119_0/

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