Rotating an interval and a circle-Reference-Cited by-同舟云学术

Rotating an interval and a circle

Published:1999 Issue:1 Volume:351 Page:63-78
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Blokh Alexander,Misiurewicz Michał

Abstract

We compare periodic orbits of circle rotations with their counterparts for interval maps. We prove that they are conjugate via a map of modality larger by at most 2 than the modality of the interval map. The proof is based on observation of trips of inhabitants of the Green Islands in the Black Sea.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1999-351-01/S0002-9947-99-02367-3/S0002-9947-99-02367-3.pdf

Reference9 articles.

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5. [BM3] \bysame, Entropy and over-rotation numbers for interval maps, Proc. Steklov Inst. Math. 216 (1997), 229–235.

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