New answers tagged integer-sequences
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 ...
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\...
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