3 problems

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The Rauzy fractal conjecture for irreducible Pisot unit substitutions
Let $\sigma$ be an irreducible Pisot unit substitution, let $X_\sigma$ be its associated subshift, and let the Rauzy fractal be the compact geometric representation constructed fro…
Conjectureopenrauzy-fractals substitution-systems symbolic-dynamicsarXiv posted 2 days ago
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The discrete tiling conjecture for self-replicating words
Discrete tiling conjecture. The translates satisfy
Conjectureopendiscrete-tilings rauzy-fractals symbolic-dynamicsarXiv posted 2 days ago
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Conjecture on the Rauzy fractal set when $c=b$
Conjecture. If $c=b$ , then
Conjectureopenbeta-expansions rauzy-fractals symbolic-dynamicsarXiv posted 2 days ago

The Rauzy fractal conjecture for irreducible Pisot unit substitutions