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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