Type de tresse d'orbites périodiques

Boris Kolev

Séminaire de théorie spectrale et géométrie (1992-1993)

  • Volume: 11, page 73-84
  • ISSN: 1624-5458

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Kolev, Boris. "Type de tresse d'orbites périodiques." Séminaire de théorie spectrale et géométrie 11 (1992-1993): 73-84. <http://eudml.org/doc/114360>.

@article{Kolev1992-1993,
author = {Kolev, Boris},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {braid type; periodic orbits},
language = {fre},
pages = {73-84},
publisher = {Institut Fourier},
title = {Type de tresse d'orbites périodiques},
url = {http://eudml.org/doc/114360},
volume = {11},
year = {1992-1993},
}

TY - JOUR
AU - Kolev, Boris
TI - Type de tresse d'orbites périodiques
JO - Séminaire de théorie spectrale et géométrie
PY - 1992-1993
PB - Institut Fourier
VL - 11
SP - 73
EP - 84
LA - fre
KW - braid type; periodic orbits
UR - http://eudml.org/doc/114360
ER -

References

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  1. [1] L. ALSEDA, J. LIBRE and M. MISIUREWICZ. - Combinatorial Dynamics and Entropy in Dimension One, Advanced Series in Nonlinear Dynamics. World Scientific, 1993. Zbl0843.58034MR1255515
  2. [2] S. BALDWIN. - Generalizations of a theorem of Sarkovskii on orbits of continuons real-valued fonctions, Discrete Math. 67 ( 1987), 111-127. Zbl0632.06005MR913178
  3. [3] D. BERNADETE, M. GUTIERREZ and Z. NITECKI. - Braids and the Nielsen-Thurston Classification, 1991. Zbl0874.57010
  4. [4] C. BERNHARDT. - Simple permutations with order a power of two, Ergod. Th. & Dynam. Sys. 4 ( 1984), 79-186. Zbl0537.28008MR766099
  5. [5] C. BERNHARDT. - The ordering on permutations induced by continuous maps of the real line, Ergod. Th. & Dynam. Sys. 7 ( 1987), 155-160. Zbl0615.05004MR896787
  6. [6] C. BERNHARDT, E. COVEN, M. MISIUREWICZ and I. MULVEY. - Comparing periodic orbits of maps of the interval, Trans. of the Amer. Math. Soc. 333 (2) ( 1992) 701-707. Zbl0764.58026MR1079051
  7. [7] M. BESTIVNA and M. HANDEL. - Train tracks and automorphisms of surfaces, preprint, 1991. 
  8. [8] M. BESTIVNA and M. HANDEL. - Train tracks and automorphisms of free groups, Annals of Math. 135 (1992), 1-5. Zbl0757.57004MR1147956
  9. [9] J. BIRMAN. - Braids, Links and Mapping Class Groups, volume 81 of Annals of Math. Studies, Princeton Univ. Press, 1974. Zbl0305.57013MR375281
  10. [10] P. BLANCHARD and J. FRANKS. - The dynamical complexity of orientation reversing homeomorphisms of surfaces, Inv. Math. 62 ( 1980), 333-339. Zbl0481.58020MR595592
  11. [11] S. BLEILER and A. CASSON. - Automorphisms of Surfaces after Nielsen and Thurston, volume 9, LMS Student Texts, 1988. Zbl0649.57008MR964685
  12. [12] R. BOWEN. - Entropy and the fundamental group, In The Structure of Attractors in Dynamical Systems. Springer, LNIM 668, 1978. Zbl0389.58010MR518545
  13. [13] P. BOYLAND. - Braid types and a topological method of proving positive entropy, Preprint. 
  14. [14] P. BOYLAND. - An analog of sarkovskii's theorem for twist maps, Contemporary Math. 81 ( 1988), 119-133. Zbl0677.58039MR986261
  15. [15] P. BOYLAND. - Rotation sets and monotone periodic orbits for annulus homeomorphisms, Comment. Math. Helvetici 67 ( 1992), 3-213. Zbl0763.58012MR1161281
  16. [16] S. EILENBERG. - Sur les transformations périodiques de la surface de sphère, Fund. Math. 22 ( 1934), 28-44. Zbl0008.37109
  17. [17] A. FATHI, F. LAUDENBACH and V. POÉNARU. - Travaux de Thurston sur les Surfaces, volume 66-67, Astérisque, 1979. Zbl0446.57010
  18. [18] T. HALL. - Coexistence theorems for periodic orbits of horseshoe type, Preprint, Cambridge, 1990. 
  19. [19] M. HANDEL. - The entropy of orientation reversing homeomorphisms of surfaces, Topology 21 (3) ( 1983), 291-296. Zbl0502.58028MR649760
  20. [20] M. HANDEL and W. THURSTON. - New proofs of some results of Nielsen, Adv. in Math. 56 ( 1985), 173-191. Zbl0584.57007MR788938
  21. [21] B. DE KEREKJARTO. - Sur la structure des transformations topologiques des surfaces en elles-mêmes, L'Enseignement Math. 35 ( 1936), 297-316. Zbl0016.04403
  22. [22] J. E. LOS. - Periodic orbits, partial order, entropy and train-tracks in the disk, Prépublication de l'Université de Nice n° 254, 1989. 
  23. [23] J. E. LOS. - Link invariants for braided links in 3-manifolds fibered over the circle via dynamical systems, Prépublication de l'Université de Nice n° 265, 1990. 
  24. [24] J. E. LOS. - Pseudo-anosov and invariant train-tracks in the disk: a finite algorithm, Prépublication de l'Université de Nice n° 266, à paraître dans Proc. Lond. Math. Soc, 1990. Zbl0738.58035
  25. [25] T. MATSUOKA. - Braids of periodic points and a two dimensional analogue of sarkovskii's ordering, Dynamical Systems and Nonlinear oscillations, 1985. Zbl0609.58034
  26. [26] R. T. MILLER. - Geodesic laminations from nielsen's viewpoint, Adv. in Math. 45 ( 1982), 189-212. Zbl0496.57003MR664623
  27. [27] M. MISIUREWICZ and Z. NITECKI. - Combinatorial patterns for maps of the interval, Preprint, 1989. Zbl0745.58019MR1086562
  28. [28] J. NIELSEN. - Surface transformation classes of algebraic finite type, Det Kg. Danske Videnskoberness Selskab, Math-Fysike Meddelelser XXI (2) ( 1944), Voir aussi: Collected Papers of J. Nielsen, Vagn Lundsgaard Hansen ( 1986). Zbl0063.05952MR15791
  29. [29] J. NIELSEN. - Investigations in the topology of closed orientable surfaces, i, ii and iii, In Jakob Nielsen :Collected Mathematical Papers. Birkhäuser, 1986, Translation by John Stillwell of: Untersuchungen zur Topologie der geschlossenen zweiseitingen Flaïchen. 
  30. [30] W. THURSTON. - On the geometry and dynamics of surfaces, Bull. of the A.M.S. 19, 1988. Zbl0674.57008MR956596
  31. [31] ZIESCHANG, VOGT and COLDEWEY. - Surfaces and Planar Discontinuous Groups, Springer, LNM. 835, 1980. Zbl0438.57001MR606743
  32. [32] H. ZIESCHANG. - Finite Groups of Mapping Classes of Surfaces, Springer, LNM 875, 1981. Zbl0472.57006MR643627

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