Summary
The local time of a Markov process can be constructed from the length of small excursions. We obtain the exact almost sure rate of this construction. We also prove a functional limit theorem for the difference between the length of small excursions and the local time at zero.
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Horvath, L. Strong laws and limit theorems for local time of Markov processes. Probab. Th. Rel. Fields 85, 413–424 (1990). https://doi.org/10.1007/BF01193946
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DOI: https://doi.org/10.1007/BF01193946
Keywords
- Stochastic Process
- Probability Theory
- Limit Theorem
- Markov Process
- Local Time