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math.CO2025
On orbit sets generated by semigroups of one-dimensional affine functions
Karim F. Shamazov, Alexey L. Talambutsa
The one-dimensional orbit set is formed by the images of a number under the action of a semigroup generated by integer affine functions …
math.CO2021
On free semigroups of affine maps on the real line
Alexander Kolpakov, Alexey Talambutsa
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…