Dynamics in Thompson's Group F
Group Theory
2012-09-11 v3 Dynamical Systems
Abstract
We describe an explicit relationship between strand diagrams and piecewise-linear functions for elements of Thompson's group F. Using this correspondence, we investigate the dynamics of elements of F, and we show that conjugacy of one-bump functions can be described by a Mather-type invariant.
Keywords
Cite
@article{arxiv.0710.3633,
title = {Dynamics in Thompson's Group F},
author = {James Belk and Francesco Matucci},
journal= {arXiv preprint arXiv:0710.3633},
year = {2012}
}
Comments
This paper has been merged with the preprint http://arxiv.org/abs/0708.4250 which underwent a major revision and is now called "Conjugacy and Dynamics in Thompson's groups"