Self-affine sets in analytic curves and algebraic surfaces
Dynamical Systems
2018-05-22 v2
Abstract
We characterize analytic curves that contain non-trivial self-affine sets. We also prove that compact algebraic surfaces cannot contain non-trivial self-affine sets.
Cite
@article{arxiv.1612.07136,
title = {Self-affine sets in analytic curves and algebraic surfaces},
author = {De-Jun Feng and Antti Käenmäki},
journal= {arXiv preprint arXiv:1612.07136},
year = {2018}
}