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Results tagged with diophantine-approximation
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user 1121
2
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0
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Simultaneous diophantine approximation with polynomial bound
For a given number $\alpha$ continued fractions expansion $(p_n, q_n)$ of $\alpha$ has the remarkable property that not only $|\alpha - \frac{p_n}{q_n}| < \frac{1}{q_n^2}$, but the converse holds - if …
- 3,323
7
votes
1
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557
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Diophantine elements in SU(2)
Following notions from [1], call a set of elements $g_1, \dots, g_k \in G = SU(2)$ Diophantine if it satisfies the following property: there exists a constant $D$ such that for every word $W_m$ of len …
- 3,323