Type de tresse d'orbites périodiques
Séminaire de théorie spectrale et géométrie, Volume 11 (1992-1993), pp. 73-84. 
@article{TSG_1992-1993__11__73_0,
     author = {Boris Kolev},
     title = {Type de tresse d'orbites p\'eriodiques},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {73--84},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {11},
     year = {1992-1993},
     doi = {10.5802/tsg.132},
     zbl = {0909.58024},
     mrnumber = {1715944},
     language = {fr},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.132/}
}
TY  - JOUR
AU  - Boris Kolev
TI  - Type de tresse d'orbites périodiques
JO  - Séminaire de théorie spectrale et géométrie
PY  - 1992-1993
SP  - 73
EP  - 84
VL  - 11
PB  - Institut Fourier
PP  - Grenoble
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.132/
DO  - 10.5802/tsg.132
LA  - fr
ID  - TSG_1992-1993__11__73_0
ER  - 
%0 Journal Article
%A Boris Kolev
%T Type de tresse d'orbites périodiques
%J Séminaire de théorie spectrale et géométrie
%D 1992-1993
%P 73-84
%V 11
%I Institut Fourier
%C Grenoble
%U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.132/
%R 10.5802/tsg.132
%G fr
%F TSG_1992-1993__11__73_0
Boris Kolev. Type de tresse d'orbites périodiques. Séminaire de théorie spectrale et géométrie, Volume 11 (1992-1993), pp. 73-84. doi : 10.5802/tsg.132. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.132/

[1] L. Alseda, J. Libre and M. Misiurewicz. - Combinatorial Dynamics and Entropy in Dimension One, Advanced Series in Nonlinear Dynamics. World Scientific, 1993. | MR | Zbl

[2] S. Baldwin. - Generalizations of a theorem of Sarkovskii on orbits of continuons real-valued fonctions, Discrete Math. 67 ( 1987), 111-127. | MR | Zbl

[3] D. Bernadete, M. Gutierrez and Z. Nitecki. - Braids and the Nielsen-Thurston Classification, 1991. | Zbl

[4] C. Bernhardt. - Simple permutations with order a power of two, Ergod. Th. & Dynam. Sys. 4 ( 1984), 79-186. | MR | Zbl

[5] C. Bernhardt. - The ordering on permutations induced by continuous maps of the real line, Ergod. Th. & Dynam. Sys. 7 ( 1987), 155-160. | MR | Zbl

[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. | MR | Zbl

[7] M. Bestivna and M. Handel. - Train tracks and automorphisms of surfaces, preprint, 1991.

[8] M. Bestivna and M. Handel. - Train tracks and automorphisms of free groups, Annals of Math. 135 (1992), 1-5. | MR | Zbl

[9] J. Birman. - Braids, Links and Mapping Class Groups, volume 81 of Annals of Math. Studies, Princeton Univ. Press, 1974. | MR | Zbl

[10] P. Blanchard and J. Franks. - The dynamical complexity of orientation reversing homeomorphisms of surfaces, Inv. Math. 62 ( 1980), 333-339. | MR | Zbl

[11] S. Bleiler and A. Casson. - Automorphisms of Surfaces after Nielsen and Thurston, volume 9, LMS Student Texts, 1988. | MR | Zbl

[12] R. Bowen. - Entropy and the fundamental group, In The Structure of Attractors in Dynamical Systems. Springer, LNIM 668, 1978. | MR | Zbl

[13] P. Boyland. - Braid types and a topological method of proving positive entropy, Preprint.

[14] P. Boyland. - An analog of sarkovskii's theorem for twist maps, Contemporary Math. 81 ( 1988), 119-133. | MR | Zbl

[15] P. Boyland. - Rotation sets and monotone periodic orbits for annulus homeomorphisms, Comment. Math. Helvetici 67 ( 1992), 3-213. | MR | Zbl

[16] S. Eilenberg. - Sur les transformations périodiques de la surface de sphère, Fund. Math. 22 ( 1934), 28-44. | Zbl

[17] A. Fathi, F. Laudenbach and V. Poénaru. - Travaux de Thurston sur les Surfaces, volume 66-67, Astérisque, 1979. | Zbl

[18] T. Hall. - Coexistence theorems for periodic orbits of horseshoe type, Preprint, Cambridge, 1990.

[19] M. Handel. - The entropy of orientation reversing homeomorphisms of surfaces, Topology 21 (3) ( 1983), 291-296. | MR | Zbl

[20] M. Handel and W. Thurston. - New proofs of some results of Nielsen, Adv. in Math. 56 ( 1985), 173-191. | MR | Zbl

[21] B. De Kerekjarto. - Sur la structure des transformations topologiques des surfaces en elles-mêmes, L'Enseignement Math. 35 ( 1936), 297-316. | Zbl

[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] 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] 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. | Zbl

[25] T. Matsuoka. - Braids of periodic points and a two dimensional analogue of sarkovskii's ordering, Dynamical Systems and Nonlinear oscillations, 1985. | Zbl

[26] R. T. Miller. - Geodesic laminations from nielsen's viewpoint, Adv. in Math. 45 ( 1982), 189-212. | MR | Zbl

[27] M. Misiurewicz and Z. Nitecki. - Combinatorial patterns for maps of the interval, Preprint, 1989. | MR | Zbl

[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). | MR | Zbl

[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] W. Thurston. - On the geometry and dynamics of surfaces, Bull. of the A.M.S. 19, 1988. | MR | Zbl

[31] Zieschang, Vogt and Coldewey. - Surfaces and Planar Discontinuous Groups, Springer, LNM. 835, 1980. | MR | Zbl

[32] H. Zieschang. - Finite Groups of Mapping Classes of Surfaces, Springer, LNM 875, 1981. | MR | Zbl

Cited by Sources: