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Showing 1 to 1 of 1 for “"Beatty Sequence"”.
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Beatty ratios, algorithms related to Sturmian sequences and uniform distribution theory
… first study properties of ratios of elements of Beatty sequences and their connection with Sturmian sequences. If we write $a_n=\lfloor n a \rfloor$ for $a$ a real number and $n \in \N$, then we are concerned with ratios of the form $$r_{a}(n,k):=\frac{ a_{n+k}}{a_n} $$ \noindent as well as their …