Abstract
It is shown that all Levy processes on the line whose paths are of bounded variation have a closed range over any finite time interval that is nowhere dense except for those processes having positive (negative) drift with Levy measure finite on $(0, \infty)$ [finite on $(-\infty, 0)$].
Citation
T. S. Mountford. S. C. Port. "The Range of a Levy Process." Ann. Probab. 19 (1) 221 - 225, January, 1991. https://doi.org/10.1214/aop/1176990541
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