31 citations · 113 across the 17 of their papers we have counts for
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math.DS2024
Cellular automata, percolation and dynamical dichotomies
Sebastián Barbieri, Felipe García-Ramos, Siamak Taati
We establish a connection between percolation on the Cayley graphs of a group and the dynamical diversity of cellular automata on that group. Specifically, we demonstrate that Gilm…
math.PR2024
Zero-one laws for events with positional symmetries
Yahya Ayach, Anthony Khairallah, Tia Manoukian +3
We use an information-theoretic argument due to O'Connell (2000) to prove that every sufficiently symmetric event concerning a countably infinite family of independent and identica…