Common Limits of Fibonacci Circle Maps

Genadi Levin, Grzegorz Świa̧tek*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 languageAmerican English
Pages (from-to)695-734
Number of pages40
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Jun 2012


Dive into the research topics of 'Common Limits of Fibonacci Circle Maps'. Together they form a unique fingerprint.

Cite this