2012/02/17 by Genadi Levin, Grzegorz Świątek
Mathematics · #math.DS #msc:37F25
paper · pdf · doi:10.1007/s00220-012-1471-6
to appear in Commun. Math. Phys. arXiv admin note: substantial text overlap with arXiv:math/0306033
arxiv created 2012/02/17 · arxiv updated 2015/06/04
We show that limits for the critical exponent tending to ∞ 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.