@incollection{SB_1991-1992__34__93_0, author = {Ghys, \'Etienne}, title = {Dynamique des flots unipotents sur les espaces homog\`enes}, booktitle = {S\'eminaire Bourbaki : volume 1991/92, expos\'es 745-759}, series = {Ast\'erisque}, note = {talk:747}, pages = {93--136}, publisher = {Soci\'et\'e math\'ematique de France}, number = {206}, year = {1992}, mrnumber = {1206065}, zbl = {0796.58041}, language = {fr}, url = {http://archive.numdam.org/item/SB_1991-1992__34__93_0/} }
TY - CHAP AU - Ghys, Étienne TI - Dynamique des flots unipotents sur les espaces homogènes BT - Séminaire Bourbaki : volume 1991/92, exposés 745-759 AU - Collectif T3 - Astérisque N1 - talk:747 PY - 1992 SP - 93 EP - 136 IS - 206 PB - Société mathématique de France UR - http://archive.numdam.org/item/SB_1991-1992__34__93_0/ LA - fr ID - SB_1991-1992__34__93_0 ER -
%0 Book Section %A Ghys, Étienne %T Dynamique des flots unipotents sur les espaces homogènes %B Séminaire Bourbaki : volume 1991/92, exposés 745-759 %A Collectif %S Astérisque %Z talk:747 %D 1992 %P 93-136 %N 206 %I Société mathématique de France %U http://archive.numdam.org/item/SB_1991-1992__34__93_0/ %G fr %F SB_1991-1992__34__93_0
Ghys, Étienne. Dynamique des flots unipotents sur les espaces homogènes, in Séminaire Bourbaki : volume 1991/92, exposés 745-759, Astérisque, no. 206 (1992), Talk no. 747, 44 p. http://archive.numdam.org/item/SB_1991-1992__34__93_0/
[1] Geodesic flows on compact Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklova, 90 (1967). | MR | Zbl
-[2] Flows on homogeneous spaces, Ann. of Math. Studies, Princeton 53 (1963). | Zbl
, and -[3] Indefinite quadratic forms, Proc. London Math. Soc. 54 (1987). | MR | Zbl
, -[4] Introduction aux groupes arithmétiques, Hermann, Paris (1969). | MR | Zbl
-[5] Valeurs de formes quadratiques aux points entiers, C.R. Acad. Sci. Paris, Série I 307 (1988), 217-220. | MR | Zbl
et -[6] Periodic orbits for hyperbolic flows, Amer. J. Math (1972), 1-30. | MR | Zbl
-[7] Weak mixing and unique ergodicity on homogeneous spaces, Israel J. Math 23 (1976), 267-273. | MR | Zbl
-[8] Unique ergodicity of horospherical foliations, Israel J. Math 26 (1977), 43-67. | MR | Zbl
and -[9] Flows on homogeneous spaces : a newlook, Amer. J. Math. 103 (1981), 571-613. | MR | Zbl
and -[10] An introduction to diophantine approximations, Cambridge University Press (1957). | MR | Zbl
-[11] Rational quadratic forms, Academic Press, London- New York (1978). | MR | Zbl
-[12] On the product of three homogeneous linear forms and indefinite ternary quadratic forms, Philos. Trans. Roy. Soc. London, Ser. A, 248 (1955), 73-96. | MR | Zbl
and -[13] Invariant measures of horospherical flows on non compact homogeneous spaces, Invent. Math. 47 (1978), 101-138. | MR | Zbl
-[14] On invariant measures, minimal sets and a lemma of Margulis, Invent. Math. 51 (1979), 239-260. | MR | Zbl
-[15] Dynamics of the horocycle flow, bullet. A.M.S. 3 (1980), 1037-1039. | Zbl
-[16] Invariant measures and minimal sets of horospherical flows, Invent. Math. 64 (1981), 357-385. | MR | Zbl
-[17] On uniformly distributed orbits of certain horocyclic flows, Ergodic theory and dynamical systems 2 (1982), 139-158. | MR | Zbl
-[18] On orbits of unipotent flows on homogeneous spaces, Ergodic theory and dynamical systems 4 (1984), 25-34. | MR | Zbl
-[19] Dynamics of flows on homogeneous spaces : a survey, Proceed. of Colloquio de sistemas dinamicos (Guanajuato, 1983), Aportaciones Mat. 1 (1985), 1-30. | MR | Zbl
-[20] Divergent trajectories of flows on homogeneous spaces and diophantine approximation, J. Reine Angew. Math. 359 (1985), 55-89. | MR | Zbl
-[21] Orbits of horospherical flows, Duke Math. Journal 53 (1986), 177-188. | MR | Zbl
-[22] On orbits of unipotent flows on homogeneous spaces II, Ergodic theory and dynamical systems 6 (1986), 167-182. | MR | Zbl
-[23] Dense orbits of horospherical flows, dynamical systems and ergodic theory, Banach center publications, volume 23, Polish Scientific Publishers, Warsaw (1989). | MR | Zbl
-[24] Values of quadratic forms at primitive integral points, C.R. Acad. Sci. Paris, Série I, 308 (1989), 199-203. | MR | Zbl
and -[25] Values of quadratic forms at primitive integral points, Invent. Math. 98 (1989), 405-424. | MR | Zbl
and -[26] Orbit closures of generic unipotent flows on homogeneous spaces of SL(3, R), Math. Ann. 286 (1990), 101-128. | MR | Zbl
and -[27] Values of quadratic forms at integral points : an elementary approach, L'enseignement mathématique 36 (1990), 143-174. | MR | Zbl
and -[28] Uniform distribution of horocyclic orbits for Fuchsian groups, Duke Math. Journal 51 (1984), 185-194. | MR | Zbl
and -[29] On indefinite quadratic in five variables, J. London Math. Soc. 21 (1946),, 185-193. | MR | Zbl
and -[30] Semi-simple subalgebras of semi-simple Lie algebras, A.M.S. Transl. (Series 2) 6 (1957), 111-244 | Zbl
-[31] Maximal subgroups of the classical groups, A.M.S. Transl. (Series 2) 6 (1957), 245-378. | Zbl
-[32] Unique ergodicity of flows on homogeneous spaces, Israel J. Math. 29 (1978), 276-284. | MR | Zbl
and -[33] Semirigidity of horocycle flows over compact surfaces of variable negative curvature, Ergodic theory and dynamical systems 7 (1987), 49-72. | MR | Zbl
and -[34] An extension of Ratner's rigidity theorem to n-dimensional hyperbolic space, Ergodic theory and dynamical systems 7 (1987), 73-92. | MR | Zbl
-[35] Strict ergodicity and transformations of the torus, Amer. J. Math. 83 (1961), 573-601. | MR | Zbl
-[36] The structure of distal flows, Amer. J. Math. 85 (1963), 477-515. | MR | Zbl
-[37] The unique ergodicity of the horocyclic flow, in Recent Advances in Topical Dynamics, 95-115, Springer (1972). | MR | Zbl
-[38] Fuchsian groups and transitive horocycles, Duke Math. Journal 2 (1936), 530-542. | JFM | MR
-[39] Dynamics of geodesic flows, bullet. of the A.M.S. 45 (1939), 241-260. | JFM
-[40] Fuchsian groups and mixtures, Ann. of Math. 40 (1939), 370-383. | MR | Zbl
-[41] Fuchsian groups and ergodic theory, Trans. A.M.S. 39 (1936), 299-314. | JFM | MR
-[42] Statistik der Geodätische Linien Manigfaltigkeiten Negativer Krümmung, Ber. Voch. Sachs. Akad. Wiss. Leipzig 91 (1939), 261-304. | JFM | MR
-[43] On indefinite quadratic forms in four variables, Acta Arith. 33 (1977), 209-229. | MR | Zbl
-[44] Théorèmes ergodiques pour une translation sur une nilvariété, Ergodic theory and dynamical systems 9 (1989), 115-126. | MR | Zbl
-[45] Sur une nil-variété, les parties minimales associées à une translation sont uniquement ergodiques, Ergodic theory and dynamical systems 11 (1991), 379-391. | MR | Zbl
-[46] Unique ergodicity of the horocyclic flow : variable curvature case, Israel J. of Math. 21 (1975), 133-144. | MR | Zbl
-[47] Topological conjugacy of horocycle flows, Amer. J. Math. 105 (1983), 623-632. | MR | Zbl
-[48] On the action of unipotent groups in the space of lattices, Proc. of the summer school on group representations, Bolyai Janos Math. Soc., Budapest (1971), 365-370. | MR | Zbl
-[49] Lie groups and ergodic theory, in Avramov, L.L. (eds) Algebra, some current trends, Proceed. Varna 1986, Springer Lecture Notes in Math. 1352, 130-146. | MR | Zbl
-[50] Formes quadratiques indéfinies et flots unipotents sur les espaces homogènes, C.R. Acad. Sci., Série I, 304 (1987), 249- 253. | MR | Zbl
-[51] Indefinite quadratic forms and unipotent flows on homogeneous spaces, Banach center publications, volume 23, Polish Scientific Publishers, Warsaw (1989). | MR | Zbl
-[52] Discrete subgroups and ergodic theory, Symposium in honour of A. Selberg, Number theory, trace formulas and discrete groups, Academic Press (1989), 377-398. | MR | Zbl
-[53] Compactnes of minimal closed invariant sets of actions of unipotent groups, Geometria Dedicata 37 (1991), 1-9. | MR | Zbl
-[54] Orbits of group actions and values of quadratic forms at integral points, Preprint IHES. | MR
-[55] The Mautner phenomenon for general unitary representations, Pacific J. Math. 86 (1980), 155-169. | MR | Zbl
-[56] Recurrent geodesics on a surface of negative curvature, Trans. Amer. Math. Soc. 22 (1921), 84-100 | JFM | MR
-[57] The minima of indefinite quaternary quadratic forms of signature 0, Proc. Nat. Acad. Sci. USA 15 (1929), 724- 727. | JFM
-[58] The minima of indefinite quaternary quadratic forms, Ann. of Math. 32 (1931), 271-298. | JFM | MR
-[59] Values of quadratic forms, I, II, Quart. J. Math., Oxford Ser. (2) 4 (1953), 54-59, 60-66. | MR | Zbl
-[60] Values of quadratic forms, III, Monatsh. Math. Phys. 57 (1953), 97-101. | MR | Zbl
-[61] Le spectre marqué des longueurs des surfaces à courbure négative, Ann. of Math. 131 (1990), 151-162. | MR | Zbl
-[62] Le flot géodésique des variétés riemanniennes à courbure négative, Séminaire Bourbaki, exposé n° 738, février 1991. | Numdam | MR | Zbl
-[63] Ergodic properties of affine transformations and flows on nilmanifolds, Amer. J. Math. 91 (1969), 757-771. | MR | Zbl
-[64] Metric classification of ergodic nilflows, Amer. J. Math. 93 (1971), 819-828. | MR | Zbl
-[65] Anosov flows, Amer. J. Math. (1972), 729-754. | MR | Zbl
-[66] Factors of horocyclic flows, Ergodic theory and dynamical systems 2 (1982), 465-489. | MR | Zbl
-[67] Rigidity of horocycle flows, Ann. of Math. 115 (1982), 597-614. | MR | Zbl
-[68] Horocyclic flows : joinings and rigidity of products, Ann. of Math. 118 (1983), 277-313. | MR | Zbl
-[69] Ergodic theory in hyperbolic space, Contemp. Math. 26 (1984), 309-334. | MR | Zbl
-[70] Invariant measures for unipotent translations on homogeneous spaces, Proc. Nat. Acad. Sci. USA 87 (1990), 4309-4311. | MR | Zbl
-[71] Strict measure rigidity for unipotent subgroups of solvable groups, Invent. Math. 101 (1990), 449-482. | MR | Zbl
-[72] On measure rigidity of unipotent subgroups of semisimple groups, Acta Mathematica 165 (1990), 229-309. | MR | Zbl
-[73] On Raghunathan's measure conjecture, à paraître dans Ann. of Maths. | Zbl
-[74] Raghunathan's topological conjecture and distributions of unipotent flows, Duke Math. J, 63 (1991), 235-280. | MR | Zbl
-[75] Distribution rigidity for unipotent actions on homogeneous spaces, bulletetin A.M.S. 24 (1991), 321-325. | MR | Zbl
-[76] Tangentially distal flows, Israel J. of Math. 15 (1980), 9-31. | MR | Zbl
-[77] Asymptotic behaviour of periodic orbits of the horocycle flow and Eisenstein series, Comm. on Pure and Applied Math. 34 (1981), 719-739. | MR | Zbl
-[78] Diophantine approximations, Lecture Notes in Math. 785, Springer-Verlag.
-[79] The geometry of Markov numbers, Math. Intelligencer 7 (1985), 20-29. | MR | Zbl
-[80] Closures of totally geodesic immersions in manifolds of constant negative curvature in : Proceed. Group theory from a geometrical viewpoint, Trieste 1990, ed. É. Ghys, A. Haefliger, A. Verjovsky, World Scientific (1991). | MR | Zbl
-[81] On the space of invariant measures for hyperbolic flows, Amer. J. Math. 94 (1972), 31-37. | MR | Zbl
-[82] Valeurs des formes quadratiques indéfinies irrationnelles (d'après G.A. Margulis), Séminaire de théorie des nombres, Paris, 86-87, Ed. C Goldstein, Progress in Math. 81, 307-315, Birkhauser. | MR | Zbl
[83] Structure of orbits of homogeneous flows and the Raghunathan conjecture, Russian Math. Surveys 45 (1990), 227-228. | MR | Zbl
-[84] Unique ergodicity of horospherical flows, Amer. J. Math. 99 (1977), 827-859. | MR | Zbl
-[85] Arithmetic, geometry and dynamics in the unit tangent bundle of the modular orbifold, preprint I.C.T.P.
-[86] On minima of rational indefinite quadratic forms, J. Number Theory 21 (1985), 275-285. | MR | Zbl
-[87] On indefinite quadratic forms in five variables, Proc. London Math. Soc. (3) 3 (1953), 170-181. | MR | Zbl
-[88] On indefinite quadratic forms in three or four variables, J. London Math. Soc. 28 (1953), 239-242. | MR | Zbl
-[89] Rigidity of some translations on homogeneous spaces, Invent. Math. 81 (1985), 1-27. | MR | Zbl
-[90] Zero entropy affine maps on homogeneous spaces, Amer. J. Math. 109 (1987), 927-961. | MR | Zbl
-[91] Rigidity of horospherical foliations, Ergodic theory and dynamical systems 9 (1989), 191-205. | MR | Zbl
-[92] Measurable quotients of unipotent translations on homogeneous spaces, à paraître. | Zbl
-[93] Laminations et hypersurfaces géodésiques des variétés hyperboliques, Ann. Scient. Éc. Norm. Sup. 24 (1991), 171-188. | Numdam | MR | Zbl
-[94] Systèmes dynamiques autonomes. Partie I : Ensembles invariants des flots d'Anosov algébriques, Prépublication E.N.S. Lyon n° 47 (1991).
-