Intrinsic Diophantine approximation of a unit circle and its Lagrange spectrum

31 Aug 2020 Cha Byungchul Kim Dong Han

Let $\mathscr{L}(S^1)$ be the Lagrange spectrum arising from intrinsic Diophantine approximation of a unit circle $S^1$ by its rational points. We give a complete description of the structure of $\mathscr{L}(S^1)$ below its smallest accumulation point... (read more)

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Categories


  • NUMBER THEORY
  • DYNAMICAL SYSTEMS