3 papers
cs.FL2026
Combinatorial structures connecting Latin squares and bireversible automata
Brian Curtin, Dmytro Savchuk
This paper explores the theory of letter transducers, Mealy automata, and bireversible automata from a combinatorial perspective analogous to the theory of Latin squares. We view t…
math.GR2024
Explicit Generators for the Stabilizers of Rational Points in Thompson's Group
Krystofer Baker, Dmytro Savchuk
We construct explicit finite generating sets for the stabilizers in Thompson's group of rational points of a unit interval or a Cantor set. Our technique is based on the Reidem…
math.GR2024
Liftable self-similar groups and scale groups
Rostislav Grigorchuk, Dmytro Savchuk
We canonically identify the groups of isometries and dilations of local fields and their rings of integers with subgroups of the automorphism group of the -regular tree $\wi…