On free semigroups of affine maps on the real line
Combinatorics
2021-09-16 v2 Dynamical Systems
Number Theory
Abstract
In this note we generalise some of the work of Klarner on free semigroups of affine maps acting on the real line by using a classical approach from geometric group theory (the Ping-Pong lemma). We also investigate the boundaries within which Klarner's necessary condition for a semigroup to be related is applicable.
Keywords
Cite
@article{arxiv.2105.09387,
title = {On free semigroups of affine maps on the real line},
author = {Alexander Kolpakov and Alexey Talambutsa},
journal= {arXiv preprint arXiv:2105.09387},
year = {2021}
}
Comments
7 pages, 1 figure