Abstract:
We will explain a connection between the diversity of cellular automata observable on a given countable group and the percolation threshold associated with the Cayley graphs of such groups.
As a consequence, we show that Gilman’s dichotomy holds for the endomorphism semigroup of a countable group if and only if the group is locally virtually cyclic.
Scheduled for: 2025-03-07 10:40 AM: Felipe Garcia-Ramos in Forbes 2070D
Status: Accepted
Collection: Dynamical Systems
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