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5 votes

Shifting an irrational binary sequence

I'll prove a general theorem. Unlike in my comments, I won't use any specific theorems. Let $A$ be a finite alphabet and $X \subset A^{\mathbb{N}}$ a subshift of finite type, or SFT, meaning $X$ is ...
Ville Salo's user avatar
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12 votes
Accepted

Shifting an irrational binary sequence

No, there's no irrational $s$ with this property. Here's a concrete hands-on argument. (This may be equivalent to Ville Salo's comment, but I'm not familiar with that terminology.) The sequence $d = s\...
Martin M. W.'s user avatar
  • 6,551

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