Simulation of minimal effective dynamical systems on the Cantor sets by minimal tridimensional subshifts of finite type

2018/06/20 by Silvère Gangloff, Mathieu Sablik, Gangloff, Silvère +1
Computer Science · Mathematics · #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1806.07799

openalex publication_date 2018/06/20 · openalex created_date 2018/06/29 · openalex updated_date 2026/07/28

Abstract

In this text, we prove then that any minimal effective dynamical system on a Cantor set A^ℕ can be simulated by a minimal ℤ³-SFT, in a sense that we explicit here. This notion is a generalization of simulation by factor and sub-action defined by Hochman.

Citations

• The undecidability of the domino problem

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