Common Limits of Fibonacci Circle Maps

Details Common Limits of Fibonacci Circle Maps Common Limits of Fibonacci Circle Maps

2012-02-17

arxiv.org/abs/1202.3868v1

Mathematics

Dynamical Systems

to appear in Commun. Math. Phys. arXiv admin note: substantial text overlap with arXiv:math/0306033

Scientific paper

We show that limits for the critical exponent tending to \infty exist in both
critical circle homeomorphisms 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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