Support des mesures de Patterson-Sullivan en rang supérieur

Paul Albuquerque

Séminaire de théorie spectrale et géométrie (1995-1996)

  • Volume: 14, page 39-51
  • ISSN: 1624-5458

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Albuquerque, Paul. "Support des mesures de Patterson-Sullivan en rang supérieur." Séminaire de théorie spectrale et géométrie 14 (1995-1996): 39-51. <http://eudml.org/doc/114391>.

@article{Albuquerque1995-1996,
author = {Albuquerque, Paul},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Patterson-Sullivan measure; Furstenberg boundary; symmetric Riemann spaces of noncompact type},
language = {fre},
pages = {39-51},
publisher = {Institut Fourier},
title = {Support des mesures de Patterson-Sullivan en rang supérieur},
url = {http://eudml.org/doc/114391},
volume = {14},
year = {1995-1996},
}

TY - JOUR
AU - Albuquerque, Paul
TI - Support des mesures de Patterson-Sullivan en rang supérieur
JO - Séminaire de théorie spectrale et géométrie
PY - 1995-1996
PB - Institut Fourier
VL - 14
SP - 39
EP - 51
LA - fre
KW - Patterson-Sullivan measure; Furstenberg boundary; symmetric Riemann spaces of noncompact type
UR - http://eudml.org/doc/114391
ER -

References

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  1. [A] P. ALBUQUERQUE. - Patterson-Sullivan Measures in Higher Rank Symmetric Spaces, Ph.D. Thesis, Univ. of Geneva, Switzerland, (in preparation). Zbl0876.53032
  2. [Bi] P. BILUNGSLEY. - Probability and Measure, New-York, J.Wiley. 1979. Zbl0649.60001MR534323
  3. [BGS] W. BALLMANN, M. GROMOV and V. SCHROEDER. - Manifolds of Non-positive Curvature, Birkhäuser, Basel, 1985. Zbl0591.53001MR823981
  4. [Bou] M. BOURDON. - Structure conforme au bord et flot géodésique d'un CAT(-1)-espace, Thèse, Université de Paris-Sud, 1993. 
  5. [Bu] M. BURGER et S. MOZES. - CAT(-1)-spaces, Divergence Groups and their Commensurators, J. Amer Math. Soc. 9, n° 1 ( 1996), 57-94. Zbl0847.22004MR1325797
  6. [C] M. COORNAERT. - Mesures de Patterson-Sullivan sur le bord d'un espace hyperbolique au sens de Gromov, Pacific J. of Math. 159, n° 2 ( 1993), 241-270. Zbl0797.20029MR1214072
  7. [Esk] A. ESKIN and C. MC-MULLEN. - Mixing, Counting and Equidistribution in Lie Groups, Duke Math J. 71 ( 1993). 181-209. Zbl0798.11025MR1230290
  8. [Fu] H. FURSTENBERG. - Boundary Theory and Stochastic Processes, Proc. Symp. Pure Math. 26 ( 1973)-193-230. Zbl0289.22011MR352328
  9. [Hell] S. HELGASON. - Differential Geometry, Lie Groups and Symmetric Spaces, New-York, Academic Press, 1978. Zbl0451.53038MR514561
  10. [He12] S. HELGASON. - Groups and Geometric Analysis, Orlando, Academic Press, 1984. Zbl0543.58001MR754767
  11. [Mos] G.D. MOSTOW. - Strong Rigidity of Locally Symmetric Spaces, Annals of Math. Studies, n° 78, Princeton Univ. Press, Princeton N.J., 1973. Zbl0265.53039MR385004
  12. [Moo] C.C. MOORE. - Ergodicity of FIows on Homogeneous Spaces, Amer. J. Math. 88 ( 1966), 154-178. Zbl0148.37902MR193188
  13. [Ni] P.J. NICHOLLS. - The Ergodic Theory of Discrete Groups. London Math. Soc. Lect. Notes 143, Cambridge University Press, ( 1989). Zbl0674.58001MR1041575
  14. [Pa] S.J. PATTERSON. - The Limit Set of a Fuchsian Group, Acta Math. 136 ( 1976), 241-273. Zbl0336.30005MR450547
  15. [Su] D. SULLIVAN. - The Density at Infinity of a Discrete Group of Hyperbolic Motions, Publ. Math. I.H.E.S. 50 ( 1979)-171-202. Zbl0439.30034MR556586

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