TY - JOUR
T1 - Common Limits of Fibonacci Circle Maps
AU - Levin, Genadi
AU - Świa̧tek, Grzegorz
PY - 2012/6
Y1 - 2012/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84861583599&partnerID=8YFLogxK
U2 - 10.1007/s00220-012-1471-6
DO - 10.1007/s00220-012-1471-6
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AN - SCOPUS:84861583599
SN - 0010-3616
VL - 312
SP - 695
EP - 734
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 3
ER -