-minimal subsets of the circle
Annales de l'institut Fourier (1981)
- Volume: 31, Issue: 1, page 177-193
- ISSN: 0373-0956
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Abstract
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topMcDuff, Dusa. "$C^1$-minimal subsets of the circle." Annales de l'institut Fourier 31.1 (1981): 177-193. <http://eudml.org/doc/74480>.
@article{McDuff1981,
abstract = {Necessary conditions are found for a Cantor subset of the circle to be minimal for some $C^1$-diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.},
author = {McDuff, Dusa},
journal = {Annales de l'institut Fourier},
keywords = {diffeomorphisms of the circle of class C1; minimal sets},
language = {eng},
number = {1},
pages = {177-193},
publisher = {Association des Annales de l'Institut Fourier},
title = {$C^1$-minimal subsets of the circle},
url = {http://eudml.org/doc/74480},
volume = {31},
year = {1981},
}
TY - JOUR
AU - McDuff, Dusa
TI - $C^1$-minimal subsets of the circle
JO - Annales de l'institut Fourier
PY - 1981
PB - Association des Annales de l'Institut Fourier
VL - 31
IS - 1
SP - 177
EP - 193
AB - Necessary conditions are found for a Cantor subset of the circle to be minimal for some $C^1$-diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.
LA - eng
KW - diffeomorphisms of the circle of class C1; minimal sets
UR - http://eudml.org/doc/74480
ER -
References
top- [1] A. DENJOV, Sur les courbes définies par les équations différentielles à la surface du tore, J. de Math. Pures et Appl., (9), 11 (1932), 333-375. JFM58.1124.04
- [2] M.R. HERMAN, Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations, Publ. Math. I.H.E.S., 49 (1979), 5-234. Zbl0448.58019MR81h:58039
- [3] M. MARKELEY, Homeomorphisms of the circle without periodic points, Proc. London Math. Soc., (3) 20 (1970), 688-698. Zbl0194.54904MR42 #3770
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