Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156373 | Stochastic Processes and their Applications | 2006 | 15 Pages |
Abstract
In this study we construct self-similar diffusions on the Sierpinski carpet that are reversible with respect to the Hausdorff measure. The diffusions are obtained from self-similar diffusions reversible with respect to self-similar measures, which are singular to the Hausdorff measure. To do this we introduce a new sufficient condition for the continuity of sample paths to be preserved by a singular time change.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Hirofumi Osada,