Epstein, Adam and Keen, Linda and Tresser, Charles
(1995)
*The Set of Maps F_(ɑ,b): x, ⟼ x + ɑ + b/2π sin(2πx)
with any Given Rotation Interval is Contractible.*
Communications in Mathematical Physics, 173
(2).
pp. 313-333.
ISSN 0010-3616.
https://resolver.caltech.edu/CaltechAUTHORS:20131118-104031997

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## Abstract

Consider the two-parameter family of real analytic maps F_(ɑ,b):x↦x+ɑ+b/2π sin(2πx) which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval I, the set of maps F_(ɑ,b) whose rotation interval is I, form a contractible set.

Item Type: | Article | ||||||||
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Additional Information: | © 1995 Springer-Verlag. Received: 14 July 1994. Communicated by Ya. G. Sinai. Supported in part by NSF GRANT DMS-9205433, Inst. Math. Sciences, SUNY-Stony Brook and I.B.M. | ||||||||

Funders: |
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Issue or Number: | 2 | ||||||||

Record Number: | CaltechAUTHORS:20131118-104031997 | ||||||||

Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20131118-104031997 | ||||||||

Official Citation: | The set of maps Fa,b:x↦x+a+b2π sin(2πx) with any given rotation interval is contractiblewith any given rotation interval is contractible Adam Epstein, Linda Keen, Charles Tresse Pages 313-333 | ||||||||

Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||

ID Code: | 42524 | ||||||||

Collection: | CaltechAUTHORS | ||||||||

Deposited By: | Ruth Sustaita | ||||||||

Deposited On: | 18 Nov 2013 19:19 | ||||||||

Last Modified: | 03 Oct 2019 05:59 |

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