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A dimension theorem for sample functions of stable processes

A dimension theorem for sample functions of stable processes

The main theorem of this paper concerns the Hausdorff-Besicovitch dimen- sion of the range of the sample functions of a stable process in R. Results of this sort for the symmetric stable processes were obtained earlier by Mc-Kean [6], [7] and by us [1].The symmetric stable processes are subordinate to …