Cohomologie bornée des surfaces et courants géodésiques
Bulletin de la Société Mathématique de France (1997)
- Volume: 125, Issue: 1, page 115-142
- ISSN: 0037-9484
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topPicaud, Jean-Claude. "Cohomologie bornée des surfaces et courants géodésiques." Bulletin de la Société Mathématique de France 125.1 (1997): 115-142. <http://eudml.org/doc/87755>.
@article{Picaud1997,
author = {Picaud, Jean-Claude},
journal = {Bulletin de la Société Mathématique de France},
keywords = {hyperbolic surfaces; Patterson-Sullivan construction; bounded cohomology; geodesic currents},
language = {fre},
number = {1},
pages = {115-142},
publisher = {Société mathématique de France},
title = {Cohomologie bornée des surfaces et courants géodésiques},
url = {http://eudml.org/doc/87755},
volume = {125},
year = {1997},
}
TY - JOUR
AU - Picaud, Jean-Claude
TI - Cohomologie bornée des surfaces et courants géodésiques
JO - Bulletin de la Société Mathématique de France
PY - 1997
PB - Société mathématique de France
VL - 125
IS - 1
SP - 115
EP - 142
LA - fre
KW - hyperbolic surfaces; Patterson-Sullivan construction; bounded cohomology; geodesic currents
UR - http://eudml.org/doc/87755
ER -
References
top- [BaGh] BARGE (J.) et GHYS (E.). — Surfaces et cohomologie bornée, Inventiones Math., t. 92, 1988, p. 509-526. Zbl0641.55015MR89e:55015
- [BGS] BALLMANN (W.), GROMOV (M.) and SCHROEDER (V.). — Manifolds of non positive curvature, Progress in Math., t. 61, 1985. Zbl0591.53001MR87h:53050
- [Ba] BAVARD (C.). — Longueur stable des commutateurs, L'enseignement mathématique, t. 37, 1991, p. 109-150. Zbl0810.20026MR92g:20051
- [Be] BESSON (G.). — Séminaire sur la cohomologie bornée, École Norm. Sup. Lyon (fév. 1988).
- [Bo1] BONAHON (F.). — Bouts des variétés hyperboliques de dimension 3, Annals of Math., t. 124, 1986, p. 71-158. Zbl0671.57008MR88c:57013
- [Bo2] BONAHON (F.). — The geometry of Teichmüller space via geodesic currents, Inventiones Math., t. 92, 1988, p. 139-162. Zbl0653.32022MR90a:32025
- [Bow1] BOWEN (R.). — Equilibrium states and the ergodic theory of Anosov diffeomorphisms. — Springer Lectures Notes, Berlin, 1975. Zbl0308.28010MR56 #1364
- [Bow2] BOWEN (R.). — Hausdorff dimension of quasi-circles, Publ. Math. de l'I.H.E.S., t. 50, 1979, p. p. 11-26. Zbl0439.30032MR81g:57023
- [BoSe] BOWEN (R.) and SERIES (C.). — Markov maps associated to Fuchsian groups, Publ. Math. I.H.E.S., t. 50, 1979, p. 153-170. Zbl0439.30033MR81b:58026
- [Br] BROOKS (R.). — Some remarks on bounded cohomology, Annals Math. Studies, t. 97, 1980, p. 53-63. Zbl0457.55002MR83a:57038
- [EpFu] EPSTEIN (D.B.A.) and FUJIWARA (K.). — The second bounded cohomology of word hyperbolic groups. — Prépublication, 1994.
- [Gh1] GHYS (E.). — Groupes d'homéomorphismes du cercle et cohomologie bornée, Contemporary Math., t. 58, 1987, p. 81-105. Zbl0617.58009MR88m:58024
- [Gh2] GHYS (E.). — Communication orale.
- [GhHa] GHYS (E.) et DE LA HARPE (P.). — Sur les groupes hyperboliques d'après M. Gromov. — Birkhäuser, 1990. Zbl0731.20025MR92f:53050
- [Gre] GREENLEAF (F.P.). — Invariant means on topological groups. — Math. Stud., Van Nostrand, 1969. Zbl0174.19001MR40 #4776
- [Gri] GRIGORCHUK (R.I.). — Some results on bounded cohomology, in Combinatorial and Geometric Group Theory, Lecture Note Series, t. 204, 1993, p. 111-163. Zbl0853.20034MR96j:20073
- [Gro] GROMOV (M.). — Volume and bounded cohomology, Pub. Math. I.H.E.S., t. 56, 1982, p. 5-100. Zbl0516.53046MR84h:53053
- [Iv] IVANOV (N.V.). — Foundations of the theory of bounded cohomology, Zap. Nau. Sem. Len. ot. Mat. Inst. im V.A. Steklova, t. 167, 1988, p. 69-109. Zbl0573.55007MR87b:53070
- [Kai1] KAIMANOVICH (V.A.). — Ergodicity of harmonic invariant measures for the geodesic flow on hyperbolic spaces., J. Reine angew. Math., t. 455, 1994, p. 57-103. Zbl0803.58032MR95g:58130
- [Kai2] KAIMANOVICH (V.A.). — Communication orale.
- [K1] KLINGENBERG (W.). — Riemannian geometry. — W. de Gruyter, DATE???. Zbl0495.53036
- [Le] LEDRAPPIER (F.). — Structure au bord des variétés à courbure négative, Séminaire de théorie spectrale et géométrie, Grenoble 1994-1995, p. 97-122. Zbl0931.53005
- [Ma] MATSUMOTO (S.). — Numerical invariants for semi-conjugacy of homeomorphisms of the circle, Proc. A.M.S., t. 98, n° 1, 1986, p. 163-168. Zbl0598.57030MR88b:58121
- [MaMo] MATSUMOTO (S.) and MORITA (S.). — Bounded cohomology of certains groups of homeomorphisms. — Proc. A.M.S., t. 94, 1985, p. 539-544. Zbl0536.57023MR87e:55006
- [Mi] MITSUMATSU (Y.). — Bounded cohomology and l1 homology of surfaces, Topology, t. 23, n° 4, 1984, p. 465-471. Zbl0568.55002MR86f:57010
- [Ni] NICHOLLS (P.J.). — The ergodic theory of discrete groups. — Cambridge University Press, 1989. Zbl0674.58001MR91i:58104
- [Ot] OTAL (J.P.). — Le spectre marqué des surfaces à courbure négative, Ann. of Math., t. 13, 1990. Zbl0699.58018MR91c:58026
- [Pat] PATTERSON (S.J.). — The limit set of a Fuchsian group, Acta Math., t. 136, 1976, p. 241-273. Zbl0336.30005MR56 #8841
- [Pi] PICAUD (J.C.). — Thèse de l'Université de Grenoble, oct. 1995.
- [PoSh] POLLICOTT (M.) and SHARP (R.). — Comparison theorems and orbit counting in hyperbolic geometry, prépublication.
- [Se1] SERIES (C.). — The infinite word problem and limit sets in Fuchsian groups, Ergodic Theory and Dynamical Systems, t. 1, 1981, p. 337-360. Zbl0483.30029MR84d:30084
- [Se2] SERIES (C.). — Geometrical Markov coding of geodesics on surfaces of constant negative curvature, Ergodic Theory and Dynamical Systems, t. 6, 1986, p. 601-625. Zbl0593.58033MR88k:58130
- [Yu] YUE (C.B.). — The ergodic theory of discrete isometry groups on manifolds of variable negative curvature, prépublication, 1992.
- [Zi1] ZIMMER (R.J.). — Ergodic Theory and Semisimple Groups. — Monographs in Math., Birkhäuser, 1984. Zbl0571.58015MR86j:22014
- [Zi2] ZIMMER (R.J.). — On the cohomology of ergodic groups actions, Israel J. Math., t. 35, 1980, p. 289-300. Zbl0442.28026MR81m:22011
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