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Decidability Issues in Fractal Geometry and Substitution Dynamics

Timo Jolivet ( Institut de Mathématiques de Toulouse, Université Paul Sabatier )
In this talk we will survey several decidability results on the topological properties of some fractal objects used to study substitutions in dynamical systems. We will also mention the undecidability results which occur when considering the same decision problems in a more general setting.

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