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

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.

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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.

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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.
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Stony Brook Institute for Mathematical SciencesUNSPECIFIED
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Record Number:CaltechAUTHORS:20131118-104031997
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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
Deposited By: Ruth Sustaita
Deposited On:18 Nov 2013 19:19
Last Modified:03 Oct 2019 05:59

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