Dimension Theory of some non-Markovian repellers Part II: Dynamically defined function graphs
Dynamical Systems
2019-01-15 v1
Abstract
This is the second part in a series of two papers. Here, we give an overview on the dimension theory of some dynamically defined function graphs, like Takagi and Weierstrass function, and we study the dimension of Markovian fractal interpolation functions and generalised Takagi functions generated by non-Markovian dynamics.
Cite
@article{arxiv.1901.04037,
title = {Dimension Theory of some non-Markovian repellers Part II: Dynamically defined function graphs},
author = {Balázs Bárány and Michał\ Rams and Károly Simon},
journal= {arXiv preprint arXiv:1901.04037},
year = {2019}
}