Smooth conjugacy classes of circle diffeomorphisms with irrational rotation number

Christian Bonatti; Nancy Guelman

Fundamenta Mathematicae (2014)

  • Volume: 227, Issue: 2, page 129-162
  • ISSN: 0016-2736

Abstract

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We prove the C¹-density of every C r -conjugacy class in the closed subset of diffeomorphisms of the circle with a given irrational rotation number.

How to cite

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Christian Bonatti, and Nancy Guelman. "Smooth conjugacy classes of circle diffeomorphisms with irrational rotation number." Fundamenta Mathematicae 227.2 (2014): 129-162. <http://eudml.org/doc/283184>.

@article{ChristianBonatti2014,
abstract = {We prove the C¹-density of every $C^r$-conjugacy class in the closed subset of diffeomorphisms of the circle with a given irrational rotation number.},
author = {Christian Bonatti, Nancy Guelman},
journal = {Fundamenta Mathematicae},
keywords = {circle diffeomorphisms; C1-conjugacy class; rotation number},
language = {eng},
number = {2},
pages = {129-162},
title = {Smooth conjugacy classes of circle diffeomorphisms with irrational rotation number},
url = {http://eudml.org/doc/283184},
volume = {227},
year = {2014},
}

TY - JOUR
AU - Christian Bonatti
AU - Nancy Guelman
TI - Smooth conjugacy classes of circle diffeomorphisms with irrational rotation number
JO - Fundamenta Mathematicae
PY - 2014
VL - 227
IS - 2
SP - 129
EP - 162
AB - We prove the C¹-density of every $C^r$-conjugacy class in the closed subset of diffeomorphisms of the circle with a given irrational rotation number.
LA - eng
KW - circle diffeomorphisms; C1-conjugacy class; rotation number
UR - http://eudml.org/doc/283184
ER -

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