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arxiv: 1505.06229 · v1 · pith:JD6F5OWSnew · submitted 2015-05-22 · 🧮 math.DS

The Hausdorff dimension spectrum of Conformal Graph Directed Markov Systems and applications to Nearest Integer continued fractions

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keywords continueddimensionhausdorffintegernearestspectrumsystemsapplications
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In this paper, we consider two dynamical systems associated to the nearest integer continued fraction, and show that both of them have full Hausdorff dimension spectrum.

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