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math.DS2025
Symbol Frequencies in Surjective Cellular Automata
Benjamin Hellouin de Menibus, Ilkka Törmä, Ville Salo
We study the behavior of probability measures under iteration of a surjective cellular automaton. We solve the following question in the negative: if the initial measure is ergodic…
math.DS2019
Necessary conditions for tiling finitely generated amenable groups
Benjamin Hellouin de Menibus, Hugo Maturana Cornejo
We consider a set of necessary conditions which are efficient heuristics for deciding when a set of Wang tiles cannot tile a group. Piantadosi gave a necessary and sufficient condi…