CaltechAUTHORS
Published October 1995 | Version public
Journal Article Metadata-only

The Set of Maps F_(ɑ,b): x, ⟼ x + ɑ + b/2π sin(2πx) with any Given Rotation Interval is Contractible

Creators

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

Identifiers

Eprint ID
42524
Resolver ID
CaltechAUTHORS:20131118-104031997

Funding

NSF
DMS-9205433
Stony Brook Institute for Mathematical Sciences
IBM

Dates

Created
2013-11-18
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Updated
2019-10-03
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