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.
Original language | English |
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Pages (from-to) | 695-734 |
Number of pages | 40 |
Journal | Communications in Mathematical Physics |
Volume | 312 |
Issue number | 3 |
DOIs | |
State | Published - Jun 2012 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics