On the paths of symmetric stable processes
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- by Burgess Davis PDF
- Trans. Amer. Math. Soc. 281 (1984), 785-794 Request permission
Abstract:
It is shown that if $X(t), t \geqslant 0$, is a symmetric stable process of index $\alpha , 0 < \alpha < 2$, then $\sup _t \lim \inf _{h \downarrow 0} (X(t + h) - X(t))h^{-1/\alpha } = \infty$ a.s. This settles a question of Fristedt about strictly stable subordinators.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 281 (1984), 785-794
- MSC: Primary 60J30
- DOI: https://doi.org/10.1090/S0002-9947-1984-0722774-8
- MathSciNet review: 722774