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math.DS2007
Embedding Bratteli-Vershik systems in cellular automata
Marcus Pivato, Reem Yassawi
Many dynamical systems can be naturally represented as `Bratteli-Vershik' (or `adic') systems, which provide an appealing combinatorial description of their dynamics. If an adic sy…
math.DS2007★ 2 cited
Module Shifts and Measure Rigidity in Linear Cellular Automata
Marcus Pivato
Suppose R is a finite commutative ring of prime characteristic, A is a finite R-module, M:=Z^D x N^E, and F is an R-linear cellular automaton on A^M. If mu is an F-invariant measur…