Common Limits of Fibonacci Circle Maps
Dynamical Systems
2015-06-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1202.3868,
title = {Common Limits of Fibonacci Circle Maps},
author = {Genadi Levin and Grzegorz Świątek},
journal= {arXiv preprint arXiv:1202.3868},
year = {2015}
}
Comments
to appear in Commun. Math. Phys. arXiv admin note: substantial text overlap with arXiv:math/0306033