Communications in Mathematical Physics

The set of maps $F_{a,b}\colon x\mapsto x+a+(b/2\pi)\sin(2\pi x)$ with any given rotation interval is contractible

Adam Epstein, Linda Keen, and Charles Tresser

Full-text: Open access

Article information

Source
Comm. Math. Phys., Volume 173, Number 2 (1995), 313-333.

Dates
First available in Project Euclid: 28 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.cmp/1104274731

Mathematical Reviews number (MathSciNet)
MR1355627

Zentralblatt MATH identifier
0839.58021

Subjects
Primary: 58F08
Secondary: 26A18: Iteration [See also 37Bxx, 37Cxx, 37Exx, 39B12, 47H10, 54H25] 30D05: Functional equations in the complex domain, iteration and composition of analytic functions [See also 34Mxx, 37Fxx, 39-XX] 58F23

Citation

Epstein, Adam; Keen, Linda; Tresser, Charles. The set of maps $F_{a,b}\colon x\mapsto x+a+(b/2\pi)\sin(2\pi x)$ with any given rotation interval is contractible. Comm. Math. Phys. 173 (1995), no. 2, 313--333. https://projecteuclid.org/euclid.cmp/1104274731


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