Published October 1995
| public
Journal Article
The Set of Maps F_(ɑ,b): x, ⟼ x + ɑ + b/2π sin(2πx) with any Given Rotation Interval is Contractible
- Creators
- Epstein, Adam
- Keen, Linda
- Tresser, Charles
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.
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.Additional details
- Eprint ID
- 42524
- Resolver ID
- CaltechAUTHORS:20131118-104031997
- DMS-9205433
- NSF
- Stony Brook Institute for Mathematical Sciences
- IBM
- Created
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2013-11-18Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field