Local times and Tanaka–Meyer formulae for càdlàg paths

نویسندگان

چکیده

Three concepts of local times for deterministic c{\`a}dl{\`a}g paths are developed and the corresponding pathwise Tanaka--Meyer formulae provided. For semimartingales, it is shown that their sample a.s. satisfy all three definitions coincide with classical semimartingale time. In particular, this demonstrates each definition constitutes a legit counterpart probabilistic times. The last construction presented in paper expresses terms normalized numbers interval crossings does not depend on choice sequence grids. This new result also which may be related to previous results Nicole El~Karoui Marc Lemieux.

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ژورنال

عنوان ژورنال: Electronic Journal of Probability

سال: 2021

ISSN: ['1083-6489']

DOI: https://doi.org/10.1214/21-ejp638