| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4616133 | Journal of Mathematical Analysis and Applications | 2014 | 10 Pages |
Abstract
We show the existence of the local dimension of an invariant probability measure on an infinitely generated self-affine set, for almost all translations. This implies that an ergodic probability measure is exactly dimensional. Furthermore the local dimension equals the minimum of the local Lyapunov dimension and the dimension of the space.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Eino Rossi,