We establish the correct Hausdorff measure function for the level sets of additive strictly stable processes derived from strictly stable processes satisfying Taylor’s condition (A). This leads naturally to a characterization of local time in terms of the corresponding Hausdorff measure function of the level set.
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Mountford, T.S. Level Sets of Multiparameter Stable Processes. J Theor Probab 20, 25–46 (2007). https://doi.org/10.1007/s10959-006-0034-1
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DOI: https://doi.org/10.1007/s10959-006-0034-1