Local limit theorem for a Markov additive process on with a null recurrent internal Markov chain

DOI10.1017/jpr.2022.73zbMath1512.60021OpenAlexW4312193213MaRDI QIDQ6102054

Publication date: 8 May 2023

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jpr.2022.73

zbMATH Keywords

Fourier analysis recurrence transience semi-Markov processes Markov random walks random walks with internal degrees of freedom inhomogeneous random walks

Mathematics Subject Classification ID

Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Probabilistic potential theory (60J45) Markov renewal processes, semi-Markov processes (60K15) Local time and additive functionals (60J55)

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