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math.NT2026
An aperiodic set of Wang tiles for every quadratic irrational
Jarkko Kari, Sébastien Labbé, Pieter Mostert
We propose a sufficient condition for the non-periodicity of a set of Wang tiles. It applies to sets of Wang tiles whose tiles have vertical or horizontal stripes. The proof is bas…
math.DS2026
Minimality, transitivity and sensitivity of non-uniform cellular automata
Supreeti Kamilya, Jarkko Kari, Katariina Paturi
Every transitive cellular automaton (CA) is sensitive to initial conditions. We study this implication in the more general context of non-uniform cellular automata (NUCA) with fini…