Dynamics in Thompson's Group F

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.

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"

References in corpus (2)

• Algorithms and Classification in Groups of Piecewise-Linear Homeomorphisms
• Conjugacy, roots, and centralizers in Thompson's group $F$

Cited by in corpus (1)

• Algorithms and Classification in Groups of Piecewise-Linear Homeomorphisms