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Answer by Dan Rust for Open problems in symbolic dynamics

You mentioned substitution systems, so the Pisot substitution conjecture obviously has to be mentioned. There's a (mostly) up to date exposition by Akiyama, Barge, Berthé, Lee and Siegel that can be...

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Answer by Algernon for Open problems in symbolic dynamics

Mike Boyle once compiled a pretty large collection of open problems in symbolic dynamics, and has been keeping track of their status.

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Open problems in symbolic dynamics

I would like to know which are some noticeable open problems in symbolic dynamics, including substitution dynamics. I'm especially interested in connections with topological chaos of various forms....

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