On free semigroups of affine maps on the real line
arXiv:2105.09387
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.
7 pages, 1 figure