Minimal C1-diffeomorphisms of the circle which admit measurable fundamental domains

Roki Kodama; Shigenori Matsumoto

doi:10.1090/S0002-9939-2013-11472-3

Minimal C¹-diffeomorphisms of the circle which admit measurable fundamental domains

Roki Kodama, Shigenori Matsumoto

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We construct, for each irrational number α, a minimal C¹-diffeomorphism of the circle with rotation number α which admits a measurable fundamental domain with respect to the Lebesgue measure.

Original language	English
Pages (from-to)	2061-2067
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9939-2013-11472-3
Publication status	Published - 2013
Externally published	Yes

Keywords

Diffeomorphism
Ergodicity
Minimality
Rotation number

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-2013-11472-3

Cite this

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title = "Minimal C1-diffeomorphisms of the circle which admit measurable fundamental domains",

abstract = "We construct, for each irrational number α, a minimal C1-diffeomorphism of the circle with rotation number α which admits a measurable fundamental domain with respect to the Lebesgue measure.",

keywords = "Diffeomorphism, Ergodicity, Minimality, Rotation number",

author = "Roki Kodama and Shigenori Matsumoto",

year = "2013",

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AU - Matsumoto, Shigenori

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KW - Diffeomorphism

KW - Ergodicity

KW - Minimality

KW - Rotation number

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