Abstract
In this note I show that some asymptotic results on the average occupancy time of an interval derived for lattice random walks with negative exponential transition probabilities are true for all random walks whose transition probabilities have a finite variance. The proof is based on the continuum limit.
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References
D. Gutkowitz-Krusin, I. Procaccia and J. Ross,J. Stat. Phys. 19:525 (1979).
G. H. Weiss,Adv. Chem. Phys. 13:1 (1967).
A. Wald,Sequential Analysis (Wiley, New York, 1947).
D. R. Cox and H. D. Miller,The Theory of Stochastic Processes (Wiley, New York, 1965).
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Weiss, G.H. A note on occupation times of random walks. J Stat Phys 21, 609–611 (1979). https://doi.org/10.1007/BF01011172
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DOI: https://doi.org/10.1007/BF01011172