@article{ASENS_2007_4_40_2_209_0, author = {Guivarc'h, Yves and Raugi, Albert}, title = {Actions of large semigroups and random walks on isometric extensions of boundaries}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {209--249}, publisher = {Elsevier}, volume = {Ser. 4, 40}, number = {2}, year = {2007}, doi = {10.1016/j.ansens.2007.01.003}, mrnumber = {2339285}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.ansens.2007.01.003/} }
TY - JOUR AU - Guivarc'h, Yves AU - Raugi, Albert TI - Actions of large semigroups and random walks on isometric extensions of boundaries JO - Annales scientifiques de l'École Normale Supérieure PY - 2007 SP - 209 EP - 249 VL - 40 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.ansens.2007.01.003/ DO - 10.1016/j.ansens.2007.01.003 LA - en ID - ASENS_2007_4_40_2_209_0 ER -
%0 Journal Article %A Guivarc'h, Yves %A Raugi, Albert %T Actions of large semigroups and random walks on isometric extensions of boundaries %J Annales scientifiques de l'École Normale Supérieure %D 2007 %P 209-249 %V 40 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.ansens.2007.01.003/ %R 10.1016/j.ansens.2007.01.003 %G en %F ASENS_2007_4_40_2_209_0
Guivarc'h, Yves; Raugi, Albert. Actions of large semigroups and random walks on isometric extensions of boundaries. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 40 (2007) no. 2, pp. 209-249. doi : 10.1016/j.ansens.2007.01.003. http://www.numdam.org/articles/10.1016/j.ansens.2007.01.003/
[1] Semigroups containing proximal linear maps, Israel J. Math. 91 (1995) 1-30. | MR | Zbl
, , ,[2] Random Dynamical Systems, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 1998. | MR | Zbl
,[3] Transcendental Number Theory, Cambridge Univ. Press, Cambridge, UK, 1975, x+147 pp. | MR | Zbl
,[4] Propriétés asymptotiques des groupes linéaires II, in: Analysis on Homogeneous Spaces and Representation Theory of Lie Groups, Okayama-Kyoto, 1997, Adv. Stud. Pure Math., vol. 26, Math. Soc. Japan, Tokyo, 2000, pp. 33-48. | MR | Zbl
,[5] Convexes divisibles III, Annales Scient. É.N.S. 38 (5) (2005) 793-832. | Numdam | MR | Zbl
,[6] Sur les difféomorphismes d'Anosov affines à feuilletages stable et instable différentiables, Invent. Math. 111 (1993) 285-308. | MR | Zbl
, ,[7] Automorphismes des cones convexes, Invent. Math. 141 (2000) 149-193. | MR | Zbl
,[8] Introduction aux groupes arithmétiques, Hermann, Paris, 1969. | MR | Zbl
,[9] Linear Algebraic Groups, G.T.M., vol. 126, second ed., Springer-Verlag, New York, 1996. | MR | Zbl
,[10] Products of Random Matrices and Applications to Schrödinger Operators with Random Potential, in: Progress in Probability Theory and Math. Statistics, vol. 8, Birkhäuser, Boston, 1985. | MR | Zbl
, ,[11] Densité d'orbites d'actions de groupes linéaires et propriétés d'équidistribution de marches aléatoires, in: , (Eds.), Rigidity in Dynamics and Geometry, Cambridge, 2000, Springer-Verlag, Berlin, 2002, 39-76. | Zbl
, ,[12] On mixing properties of compact group extensions of hyperbolic systems, Israel J. Math. 130 (2002) 157-2005. | MR | Zbl
,[13] Flot horosphérique des repères sur les variétés hyperboliques de dimension 3 et spectre des groupes kleiniens, Bull. Brazilian Math. Soc. 33 (1) (2002) 99-123. | MR | Zbl
,[14] Boundary theory and stochastic processes on homogeneous spaces, in: (Ed.), Harmonic Analysis on Homogeneous Spaces, Proc. Symp. Pure Math., vol. 26, Amer. Math. Soc., Providence, RI, 1972, pp. 193-229. | MR | Zbl
,[15] Zariski Closure and the dimension of the Gaussian law of the product of random matrices I, P.T.R.F. 105 (1996) 109-142. | MR | Zbl
, ,[16] Produits de matrices aléatoires et applications aux propriétés géométriques des sous-groupes du groupe linéaire, Ergodic Theory Dynam. Systems 10 (1990) 129-131. | MR | Zbl
,[17] Frontière de Furstenberg, propriétés de contraction et théorèmes de convergence, Z. Wahrsch. Verw. Gebiete 69 (2) (1985) 187-242. | MR | Zbl
, ,[18] Contraction properties of an invertible matrix semigroup, Lyapunov coefficients of a product of independent random matrices, Israel J. Math. 65 (2) (1989) 165-196. | MR | Zbl
, ,[19] Renewal theorems, product of random matrices, and toral endomorphisms, in: Potential Theory in Matsue, Adv. Stud. Pure Math. Math. Soc. Japan, vol. 44, 2006, pp. 53-66. | MR | Zbl
,[20] Orbits of linear group actions, random walks on homogeneous spaces and toral automorphisms, Ergodic Theory Dynam. Systems 24 (2004) 767-802. | MR | Zbl
, ,[21] Total Positivity, vol. I, Stanford Univ. Press, Stanford, CA, 1968. | MR | Zbl
,[22] Ergodic properties of linear actions of matrices, Duke Math. J. 116 (2) (2003) 353-388. | MR | Zbl
, ,[23] Problems and conjectures in rigidity theory, in: Mathematics Frontiers and Perspectives, Amer. Math. Soc., Providence, RI, 2000, pp. 161-174. | MR | Zbl
,[24] Algebraic Geometry, Complex Projective Varieties, Grundlehren Der Mathematischen Wissenschaften, vol. 221, Springer-Verlag, Berlin/New York, 1976. | MR | Zbl
,[25] Lie Groups and Algebraic Groups, Springer-Verlag, Berlin/New York, 1990. | MR | Zbl
, ,[26] -regular elements in Zariski-dense subgroups, Quart. J. Math. Oxford, 2 45 (180) (1994) 541-545. | MR | Zbl
,[27] Zariski-dense subgroups and transcendental number theory, Math. Res. Lett. 12 (2-3) (2005) 239-249. | Zbl
, ,[28] Existence of irreducible -regular elements in Zariski-dense subgroups, Math. Res. Lett. 10 (2003) 21-32. | MR | Zbl
, ,[29] Théorie spectrale d'un opérateur de transition sur un espace métrique compact, Ann. Inst. H. Poincaré 28 (2) (1992) 281-309, (Fascicule de probabilités, 21 pp., Publ. Inst. Rech. Math. Rennes, 1994, Univ. Rennes I, Rennes, 1994). | Numdam | MR | Zbl
,[30] Raugi A., Théorème ergodique multiplicatif, Produits de matrices aléatoires indépendantes, Fascicule de probabilités, 43 pp., Publ. Inst. Rech. Math. Rennes, 1996/1997. | Zbl
[31] Fonctions harmoniques et théorèmes limites pour les marches aléatoires sur les groupes, Bull. Soc. Math. France 54 (1977) 5-118. | Numdam | MR | Zbl
,[32] Equicontinuous Markov operators, Teor. Verojatnost. i Primenen. 9 (1964) 205-222. | MR | Zbl
,[33] On some singular monotonic function which are strictly increasing, TAMS 53 (1943) 427-439. | MR | Zbl
,[34] Co-compact subgroups of semi-simple Lie groups, in: , (Eds.), Lie Algebras and Related Topics, Contemp. Math., vol. 110, 1990, pp. 309-313. | Zbl
,[35] Ergodic Theory and Semi-Simple Lie Groups, Monographs in Math., vol. 81, Birkhäuser-Verlag, Basel, 1984. | MR | Zbl
,Cited by Sources: