Self-affine sets with non-compactly supported random perturbations
Dynamical Systems
2014-05-09 v2
Abstract
In this note we consider the Hausdorff dimension of self-affine sets with random perturbations. We extend previous work in this area by allowing the random perturbation to be distributed according to distributions with unbounded support as long as the measure of the tails of the distribution decay super polynomially.
Cite
@article{arxiv.1310.0944,
title = {Self-affine sets with non-compactly supported random perturbations},
author = {Thomas Jordan and Natalia Jurga},
journal= {arXiv preprint arXiv:1310.0944},
year = {2014}
}
Comments
18 pages. A few typographical errors have been corrected and some clarifications have been made. Now accepted for publication in 'Annales Academi{\ae} Scientiarum Fennic{\ae}, Mathematica'