For transient symmetric Levy processes we determine a uniform lower bound for the Hausdorff dimension of the range of a process on various time sets. This complements earlier work which provided a uniform upper bound. An example is provided in which both bounds are attained.
Publié le : 1983-08-14
Classification:
Hausdorff dimension,
Levy processes,
Sample path properties,
60G17,
60J30,
60J40,
60J25
@article{1176993503,
author = {Hendricks, W. J.},
title = {A Uniform Lower Bound for Hausdorff Dimension for Transient Symmetric Levy Processes},
journal = {Ann. Probab.},
volume = {11},
number = {4},
year = {1983},
pages = { 589-592},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993503}
}
Hendricks, W. J. A Uniform Lower Bound for Hausdorff Dimension for Transient Symmetric Levy Processes. Ann. Probab., Tome 11 (1983) no. 4, pp. 589-592. http://gdmltest.u-ga.fr/item/1176993503/