On some properties of orientation-preserving surjections on the circle

Pawel Solarz

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 6, page [547]-560
  • ISSN: 0232-0525

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Solarz, Pawel. "On some properties of orientation-preserving surjections on the circle." Mathematica Slovaca 57.6 (2007): [547]-560. <http://eudml.org/doc/34669>.

@article{Solarz2007,
author = {Solarz, Pawel},
journal = {Mathematica Slovaca},
keywords = {circle homeomorphism; orientation-preserving map; periodic point; rotation number},
language = {eng},
number = {6},
pages = {[547]-560},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On some properties of orientation-preserving surjections on the circle},
url = {http://eudml.org/doc/34669},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Solarz, Pawel
TI - On some properties of orientation-preserving surjections on the circle
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 6
SP - [547]
EP - 560
LA - eng
KW - circle homeomorphism; orientation-preserving map; periodic point; rotation number
UR - http://eudml.org/doc/34669
ER -

References

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  1. ALSEDÀ L.-LLIBRE J.-MISIUREWICZ M., Combinatorial Dynamics and Entropy in Dimension One, Adv. Ser. Nolinear Dynam. 5, World Scientific Publishing Co., Inc, River Edge, NJ, 1993. (1993) Zbl0843.58034MR1255515
  2. BAJGER M., On the structure of some flows on the unit circle, Aequationes Math. 55 (1998), 106-121. (1998) Zbl0891.39017MR1600588
  3. CIEPLINSKI K., On the embeddability of a homeomorphism of the unit circle in disjoint iteration groups, Publ. Math. Debrecen 55 (1999), 363-383. (1999) Zbl0935.39010MR1721896
  4. CIEPLIŃSKI K., On conjugacy of disjoint iteration groups on the unit circle, Ann. Math. Sil. 13 (1999), 103-118. (1999) Zbl0945.39006MR1735195
  5. CОRNFELD I. R-FОMIN S. V.-SINAI Y. G., Ergodic Theory, Grundlehren Math. Wiss. 245, Spirnger Verlag, Berlin-Heidelberg-New York, 1982. (1982) MR0832433
  6. de MELО W.-van STREIN S., One-dimensional Dynamics, Ergeb. Math. Grenzegeb. (3) 25, Springer-Verlag, New York-Berlin, 1993. (1993) MR1239171
  7. JARCZYK W., Babbage equation on the circle, Publ. Math. Debrecen 63 (2003), 389-400. MR2018071
  8. KUCZMA M.-CHOCZEWSKI B.-GER R., Iterative Functional Equations, Encyclopaedia Math. Appl. 32, Cambridge University Press, Cambridge-New York-Port Chester-Melbourne-Sydney, 1990. (1990) Zbl0703.39005MR1067720
  9. LLIBRE J., Minimal periodic orbits of continuous mappings of the circle, Proc. Amer. Math. Soc. 83 (1981), 625-628. (1981) Zbl0469.54024MR0627708
  10. WALTERS P., An Introduction to Ergodic Theory, Grad. Text in Math. 79, Springer-Verlag, New York-Heidelberg-Berlin, 1982. (1982) Zbl0475.28009MR0648108

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