Universal estimates for critical circle mappings.
A thermodynamic formalism is constructed for critical circle mappings. It is used to prove universal estimates for the asymptotic behavior of renormalized mappings. Certain applications of statistical mechanics to research on the ergodic properties of critical homeomorphisms of a circle are also discussed.
Khanin
K. M.
KM
L. D. Landau Institute of Theoretical Physics, Academy of Sciences of the USSR, Moscow 117334, USSR.