A Combinatorial Characterization of the Critical Itineraries of a Uniform Dynamical System
Dynamical Systems
2014-03-11 v3
Abstract
For a function from the unit interval to itself with constant slope and one discontinuity, the itineraries of the point of discontinuity are called the critical itineraries. These critical itineraries play a significant role in the study of -expansions (with positive or negative ) and fractal transformations. A combinatorial characterization of the critical itineraries of such functions is provided.
Keywords
Cite
@article{arxiv.1205.5902,
title = {A Combinatorial Characterization of the Critical Itineraries of a Uniform Dynamical System},
author = {Michael Barnsley and Wolfgang Steiner and Andrew Vince},
journal= {arXiv preprint arXiv:1205.5902},
year = {2014}
}
Comments
19 pages, 2 figures