@article{ASENS_2003_4_36_1_139_0,
author = {Le Calvez, Patrice},
title = {Dynamique des hom\'eomorphismes du plan au voisinage d'un point fixe},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
volume = {36},
year = {2003},
pages = {139-171},
doi = {10.1016/S0012-9593(03)00005-3},
mrnumber = {1987979},
zbl = {1017.37017},
language = {fr},
url = {http://dml.mathdoc.fr/item/ASENS_2003_4_36_1_139_0}
}
Le Calvez, Patrice. Dynamique des homéomorphismes du plan au voisinage d'un point fixe. Annales scientifiques de l'École Normale Supérieure, Tome 36 (2003) pp. 139-171. doi : 10.1016/S0012-9593(03)00005-3. http://gdmltest.u-ga.fr/item/ASENS_2003_4_36_1_139_0/
[1] , An extension of Poincaré's last geometric theorem, Acta Math. 47 (1926) 297-311, in: Collected Math. Papers, Vol. II, Dover, pp. 252-260. | JFM 52.0573.02 | MR 1555218
[2] , Sur quelques courbes fermées remarquables, Bull. Soc. Math. France 80 (1932) 1-26, in: Collected Math. Papers, Vol. II, Dover, pp. 444-461. | Numdam | MR 1504983 | Zbl 0005.22002
[3] , Propriétés locales de l'espace des homéomorphismes de Brouwer, Ergodic Theory Dynam. Systems 19 (1999) 1405-1423. | MR 1738944 | Zbl 0984.37043
[4] , Beweis des ebenen Translationssatzes, Math. Ann. 72 (1912) 37-54. | JFM 43.0569.02 | MR 1511684
[5] , A new proof of Brouwer's lemma on translation arcs, Houston J. Math. 10 (1984) 35-41. | MR 736573 | Zbl 0551.57005
[6] , On the fixed point index of iterates of planar homeomorphisms, Proc. Amer. Math. Soc. 108 (1990) 1109-1114. | MR 994772 | Zbl 0686.58028
[7] , Über die begrenzung einfach zusammenhangender Gebiete, Math. Ann. 73 (1913) 323-370. | JFM 44.0757.02 | MR 1511737
[8] , An improvment of the Poincaré-Birkhoff theorem, Trans. Amer. Math. Soc. 269 (1982) 285-299. | MR 637039 | Zbl 0507.55002
[9] , , Some fixed point theorems, Ann. of Math. 54 (1951) 1-37. | MR 42690 | Zbl 0058.38604
[10] , An orbit closing proof of Brouwer's lemma on translation arcs, L'Enseignement Math. 33 (1987) 315-322. | MR 925994 | Zbl 0649.54022
[11] , Fixed points of measure preserving torus homeomorphisms, Manuscripta Math. 68 (1990) 271-293. | MR 1065931 | Zbl 0722.58027
[12] , Automorphic Functions, Chelsea Publishing, New York, 1951.
[13] , Generalizations of the Poincaré-Birkhoff theorem, Ann. of Math. 128 (1988) 139-151. | MR 951509 | Zbl 0676.58037
[14] , A variation on the Poincaré-Birkhoff theorem, Contemp. Math. 81 (1988) 139-151. | MR 986260 | Zbl 0679.58026
[15] , Recurrence and fixed points of surface homeomorphims, Ergodic Theory Dynam. Systems 8∗ (1988) 99-107. | Zbl 0634.58023
[16] , Area preserving homeomorphisms of open surfaces of genus zero, New York J. Math. 2 (1996) 1-19. | MR 1371312 | Zbl 0891.58033
[17] , Théorème de translation plane de Brouwer et généralisations du théorème de Poincaré-Birkhoff, Topology 33 (1994) 331-351. | MR 1273787 | Zbl 0924.55001
[18] , There are no minimal homeomorphisms of the multipunctured plane, Ergodic Theory Dynam. Systems 12 (1992) 75-83. | MR 1162400 | Zbl 0769.58037
[19] , Sur les courbes invariantes par les difféomorphismes de l'anneau, vol. 2, Astérisque, Soc. Math. de France 144 (1986). | Zbl 0613.58021
[20] , , Topology, Dover Publications, New York, 1961. | MR 125557 | Zbl 0718.55001
[21] , , Symplectic Invariants and Hamiltonian Dynamics, Birkhäuser, 1994. | MR 1306732 | Zbl 0837.58013
[22] , Vorlesungen űber Topologie (I), Springer-Verlag, Berlin, 1923.
[23] , Une propriété dynamique des homéomorphismes du plan au voisinage d'un point fixe d'indice >1, Topology 38 (1999) 23-35. | MR 1644067 | Zbl 0976.54046
[24] , , Un théorème d'indice pour les homéomorphismes du plan au voisinage d'un point fixe, Ann. of Math. 146 (1997) 241-293. | MR 1477759 | Zbl 0895.58032
[25] Le Calvez P., Yoccoz J.-C., Suite des indices de Lefschetz des itérés pour un domaine de Jordan qui est un bloc isolant, Manuscrit.
[26] Le Roux F., Dynamique des homéomorphismes de surfaces, versions topologiques des théorèmes de la fleur de Leau-Fatou et de la variété stable, Prépublication, Orsay.
[27] , Invariant subsets of area-preserving homeomorphisms of surfaces, Adv. Math. Suppl. Stud. 7B (1994) 331-351. | Zbl 0505.58027
[28] , Elements of the Topology of Plane Sets of Points, Cambridge University Press, Cambridge, 1951. | MR 44820 | Zbl 0045.44003
[29] , Fixed points of diffeomorphisms of two-dimensional spheres preserving an oriented plane, Funktional Anal. i Prilozen. 8 (1974) 84-85. | MR 346846 | Zbl 0298.57019
[30] , Fixed points and circles maps, Acta Math. 179 (1997) 243-294. | MR 1607557 | Zbl 0914.58027
[31] , , A bound for the fixed point index of area-preserving homeomorphisms of two-manifolds, Ergodic Theory Dynam. Systems 7 (1987) 463-479. | MR 912377 | Zbl 0632.58014
[32] , , Morse theory for periodic solutions of Hamiltonian systems and the Maslov index, Comm. Pure Appl. Math. 45 (1992) 1303-1360. | MR 1181727 | Zbl 0766.58023
[33] , On the action spectrum for closed symplectically aspherical manifolds, Pacific J. Math. 193 (2) (2000) 419-461. | MR 1755825 | Zbl 1023.57020
[34] , A bound for the fixed-point index of an area-preserving map with applications to mechanics, Inventiones Math. 26 (1974) 187-200. | MR 353372 | Zbl 0331.55006