Inducing, slopes, and conjugacy classes
Dynamical Systems
2008-02-03 v1
Abstract
We show that the conjugacy class of an eventually expanding continuous piecewise affine interval map is contained in a smooth codimension 1 submanifold of parameter space. In particular conjugacy classes have empty interior. This is based on a study of the relation between induced Markov maps and ergodic theoretical behavior.
Cite
@article{arxiv.math/9403221,
title = {Inducing, slopes, and conjugacy classes},
author = {Roza Galeeva and Marco Martens and Charles Tresser},
journal= {arXiv preprint arXiv:math/9403221},
year = {2008}
}