lim sup _ 1 ~ o oz,_<a ~b(h) 0 < h < e almost surely. Since the Brownian motion process is the only stable process with continuoas sample paths we can have no such result for stable processes of index c~, c~ < 2. We can, however, pose a related question for the stable subordinator, T t (co). Here the sample paths are increasing and one can ask to what extent they are uniformly increasing. In other words, for what functions ~b, if any, do we have

/pdf/a-lower-lipschitz-condition-for-the-stable-subordinator-4x9t86qm64.pdf

Showing papers on "Subordinator published in 1971"