Some remarks on the general theorem of the existence of iterative roots of homeomorphisms with a rational rotation number

Paweł Solarz

ESAIM: Proceedings (2012)

  • Volume: 36, page 26-31
  • ISSN: 1270-900X

Abstract

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We show that the theorem proved in [8] generalises the previous results concerning orientation-preserving iterative roots of homeomorphisms of the circle with a rational rotation number (see [2], [6], [10] and [7]).

How to cite

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Solarz, Paweł. Fournier-Prunaret, D., Gardini, L., and Reich, L., eds. " Some remarks on the general theorem of the existence of iterative roots of homeomorphisms with a rational rotation number ." ESAIM: Proceedings 36 (2012): 26-31. <http://eudml.org/doc/251204>.

@article{Solarz2012,
abstract = {We show that the theorem proved in [8] generalises the previous results concerning orientation-preserving iterative roots of homeomorphisms of the circle with a rational rotation number (see [2], [6], [10] and [7]).},
author = {Solarz, Paweł},
editor = {Fournier-Prunaret, D., Gardini, L., Reich, L.},
journal = {ESAIM: Proceedings},
keywords = {iteration; iterative root; periodic point; rotation number; orientation-preserving mapping},
language = {eng},
month = {8},
pages = {26-31},
publisher = {EDP Sciences},
title = { Some remarks on the general theorem of the existence of iterative roots of homeomorphisms with a rational rotation number },
url = {http://eudml.org/doc/251204},
volume = {36},
year = {2012},
}

TY - JOUR
AU - Solarz, Paweł
AU - Fournier-Prunaret, D.
AU - Gardini, L.
AU - Reich, L.
TI - Some remarks on the general theorem of the existence of iterative roots of homeomorphisms with a rational rotation number
JO - ESAIM: Proceedings
DA - 2012/8//
PB - EDP Sciences
VL - 36
SP - 26
EP - 31
AB - We show that the theorem proved in [8] generalises the previous results concerning orientation-preserving iterative roots of homeomorphisms of the circle with a rational rotation number (see [2], [6], [10] and [7]).
LA - eng
KW - iteration; iterative root; periodic point; rotation number; orientation-preserving mapping
UR - http://eudml.org/doc/251204
ER -

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