Dimension theory for linear solenoids
Dynamical Systems
2018-07-16 v1
Abstract
We develop the dimension theory for a class of linear solenoids, which have a "fractal" attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question whether there exists a measure of full dimension.
Keywords
Cite
@article{arxiv.1807.04857,
title = {Dimension theory for linear solenoids},
author = {Jörg Neunhäuserer},
journal= {arXiv preprint arXiv:1807.04857},
year = {2018}
}