On the eigenvalues of a renormalization operator

摘要

We study the unstable eigenvalues of the renormalization of critical circle maps. The fixed points of this renormalization operator are critical circle maps f(n) with rotation numbers rho(n) =1+(1)(+...) We show that the corresponding unstable eigenvalues lambda(n) asymptotic to n(2) Mathematics Subject Classification: 37E10, 37E20, 37F25. [References: 12]