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math.DS2022
Arithmetical Complexity of the Language of Generic Limit Sets of Cellular Automata
Solène J. Esnay, Alonso Núñez, Ilkka Törmä
The generic limit set of a dynamical system is the smallest set that attracts most of the space in a topological sense: it is the smallest closed set with a comeager basin of attra…
math.DS2022
What can oracles teach us about the ultimate fate of life?
Ville Salo, Ilkka Törmä
We settle two long-standing open problems about Conway's Life, a two-dimensional cellular automaton. We solve the Generalized grandfather problem: for all , there exists…