In this paper, we construct an analog of local time for an arbitrary Lévy process with finite second moment. When our process is a Wiener process, this object coincides with the local time.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 486, 2019, pp. 148–163.
Translated by S. Yu. Pilyugin.
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Ibragimov, I.A., Smorodina, N.V. & Faddeev, M.M. An Extension of Local Time. J Math Sci 258, 838–844 (2021). https://doi.org/10.1007/s10958-021-05583-0