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 dis...
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| Veröffentlicht in: | Chaos (Woodbury, N.Y.) N.Y.), 1991-08, Vol.1 (2), p.181-186 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 1054-1500 1089-7682 |
| DOI: | 10.1063/1.165826 |