Abstract
We show that limits for the critical exponent tending to ∞ exist in both critical circle homeomorphism of golden mean rotation number and Fibonacci circle coverings. Moreover, they are the same. The limit map is not analytic at the critical point, which is flat, but has non-trivial complex dynamics.
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Communicated by G. Gallavotti
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Levin, G., Świa¸tek, G. Common Limits of Fibonacci Circle Maps. Commun. Math. Phys. 312, 695–734 (2012). https://doi.org/10.1007/s00220-012-1471-6
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DOI: https://doi.org/10.1007/s00220-012-1471-6