On sample path properties of semistable processes (Q1098486)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On sample path properties of semistable processes |
scientific article; zbMATH DE number 4038930
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On sample path properties of semistable processes |
scientific article; zbMATH DE number 4038930 |
Statements
On sample path properties of semistable processes (English)
0 references
1987
0 references
The authors show that the well-known correspondence principle between Gaussian and stable processes and measures on \(L_ p\) spaces extends to Banach valued r-semistable index \(\alpha\) processes and measures on \(L_ p\), \(1\leq p<\infty.\) In the second result, it is shown that paths of B-valued r-semistable processes belong to \(L_ p\) with probability zero or one. Finally, several necessary and sufficient conditions for almost sure path absolute continuity for r-semistable B-valued separable processes, under certain conditions on B, are given.
0 references
sample path properties
0 references
zero-one-law
0 references
stable processes
0 references
r-semistable processes
0 references
