## Communications in Mathematical Physics

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

### 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

#### 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