Universal estimates for critical circle mappings
Konstantin KhaninL. D. Landau Institute of Theoretical Physics, Academy of Sciences of the USSR, Moscow 117334, USSR
1991en
ABI
Abstract
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.
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