Universality of critical circle covers

G. Levin; G. Świa̧tek

doi:10.1007/s002200200661

Universality of critical circle covers

G. Levin^*
, G. Świa̧tek

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

For a class of critical circle covers we show that properly re-scaled first return maps to a neighborhood of the critical point converge to universal limits. For that to occur, the critical point has to be sufficiently flat.

Original language	English
Pages (from-to)	371-399
Number of pages	29
Journal	Communications in Mathematical Physics
Volume	228
Issue number	2
DOIs	https://doi.org/10.1007/s002200200661
State	Published - Jun 2002

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abstract = "For a class of critical circle covers we show that properly re-scaled first return maps to a neighborhood of the critical point converge to universal limits. For that to occur, the critical point has to be sufficiently flat.",

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Universality of critical circle covers

Abstract

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