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arXiv · 1806.07799

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

Silvère Gangloff·Mathieu Sablik
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Abstract

In this text, we prove then that any minimal effective dynamical system on a Cantor set $\mathcal{A}^{\mathbb{N}}$ can be simulated by a minimal $\mathbb{Z}^3$-SFT, in a sense that we explicit here. This notion is a generalization of simulation by factor and sub-action defined by Hochman.

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Silvère Gangloff, Mathieu Sablik. 2018-06-20. Simulation of minimal effective dynamical systems on the Cantor sets by minimal tridimensional subshifts of finite type. https://arxiv.org/abs/1806.07799

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