Rauzy fractals of random substitutions

We develop a theory of Rauzy fractals for random substitutions, which are a generalisation of deterministic substitutions where the substituted image of a letter is determined by a Markov process. We show that a Rauzy fractal can be associated with a given random substitution in a canonical manner,...

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Bibliographic Details

Main Authors:	P Gohlke, Andrew Mitchell, D Rust, T Samuel
Format:	Default Article
Published:	2025
Subjects:	Applied mathematics Mathematical physics Pure mathematics Aperiodic sequence Random substitution Rauzy fractal Graph-directed iterated function system
Online Access:	https://hdl.handle.net/2134/30724739.v1
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