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math.DS2026
Tameness, nullness, and amorphic complexity of automatic systems
Maik Gröger, Elżbieta Krawczyk
In topological dynamics, tame and null systems arise naturally in the study of low-complexity aperiodic behaviour, yet providing concrete and easily testable conditions to establis…
math.DS2026
Dimension gap and phase transition for one-dimensional random walks with reflective boundary
Maik Gröger, Johannes Jaerisch, Marc Kesseböhmer
We study - and -extensions of interval maps with at most countably many full branches modelling one-dimensional random walks without and with a reflective bou…