Measures on the geometric limit set in higher rank symmetric spaces

Gabriele Link

Séminaire de théorie spectrale et géométrie (2003-2004)

  • Volume: 22, page 59-69
  • ISSN: 1624-5458

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Link, Gabriele. "Measures on the geometric limit set in higher rank symmetric spaces." Séminaire de théorie spectrale et géométrie 22 (2003-2004): 59-69. <http://eudml.org/doc/114485>.

@article{Link2003-2004,
author = {Link, Gabriele},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {higher rank symmetric spaces; geometric boundary; limit set; Hausdorff dimension; Patterson-Sullivan measure; critical exponent},
language = {eng},
pages = {59-69},
publisher = {Institut Fourier},
title = {Measures on the geometric limit set in higher rank symmetric spaces},
url = {http://eudml.org/doc/114485},
volume = {22},
year = {2003-2004},
}

TY - JOUR
AU - Link, Gabriele
TI - Measures on the geometric limit set in higher rank symmetric spaces
JO - Séminaire de théorie spectrale et géométrie
PY - 2003-2004
PB - Institut Fourier
VL - 22
SP - 59
EP - 69
LA - eng
KW - higher rank symmetric spaces; geometric boundary; limit set; Hausdorff dimension; Patterson-Sullivan measure; critical exponent
UR - http://eudml.org/doc/114485
ER -

References

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  1. [A] P. ALBUQUERQUE, Mesures de Patterson-Sullivan dans les espaces symétriques de rang supérieure, Thèse de doctorat, Genève, 1997. 
  2. [A1] P. ALBUQUERQUE, Patterson-Sullivan theory in higher rank symmetric spaces, Geom. Funct. Anal., 9 ( 1999), n° 1,1-28. Zbl0954.53031MR1675889
  3. [Ba] W. BALLMANN, Lectures on Spaces of Nonpositive Curvature, DMV Seminar, Band 25, Birkhäuser, Basel, 1995. Zbl0834.53003MR1377265
  4. [BGS] W. BALLMANN, M. GROMOV, V. SCHROEDER, Manifolds of Nonpositive Curvature, Progr. Math., vol. 61, Birkhäuser, Boston MA, 1985. Zbl0591.53001MR823981
  5. [Be] Y. BENOIST, Propriétés asymptotiques des groupes linéaires, Geom. Funct. Anal., 7 ( 1997), n° 1,1-47. Zbl0947.22003MR1437472
  6. [C] K. CORLETTE, Hausdorff dimensions of limit sets I, Invent. Math., 102 ( 1990), 521-542. Zbl0744.53030MR1074486
  7. [E] P. EBERLEIN, Geometry of Non-Positively Curved Manifolds, Chicago Lectures in Mathematics, Chicago Univ. Press, Chicago, 1996. Zbl0883.53003
  8. [H] S. HELGASON, Differential Geometry, Lie groups, and Symmetric Spaces, Academic Press, New York, 1978. Zbl0451.53038MR514561
  9. [Kn] G. KNIEPER, On the asymptotic geometry of nonpositively curved manifolds, Geom. Funct. Anal., 7 ( 1997), n ° 4, 755-782. Zbl0896.53033MR1465601
  10. [L] G. LINK, Limit Sets of Discrete Groups acting on Symmetric Spaces, www.ubka.uni-karlsruhe.de/cgi-bin/psview? document=2002/mathematik/9, Dissertation, Karlsruhe, 2002. 
  11. [Li] G. LINK, Hausdorff Dimension of Limit Sets of Discrete Subgroups of Higher Rank Lie Groups, Geom. Funct. Anal., 14 ( 2004), n° 2,400-432. Zbl1058.22010MR2062761
  12. [P] S. J. PATTERSON, The limit set of a Fuchsian group, Acta Math., 136 ( 1976), 241-273. Zbl0336.30005MR450547
  13. [Q] J. E. QUINT, Mesures de Patterson-Sullivan dans les espaces symétriques de rang supérieure, Thèse de doctorat, Paris, 2001. 
  14. [S] D. SULLIVAN, The density at infinity of a discrete group of hyperbolic motions, Publ. Math. I.H.E.S. 50 ( 1979), 419-450. Zbl0439.30034MR556586
  15. [Y] C. B. YUE, The ergodic theory of discrete isometry groups on manifolds of variable negative curvature, Trans. Amer. Math. Soc, 348 ( 1996), n° 12, 4965-5005. Zbl0864.58047MR1348871

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