Mesures de Patterson-Sullivan sur le bord d'un espace hyperbolique au sens de Gromov.

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Mesures de Patterson-Sullivan sur le bord d'un espace hyperbolique au sens de Gromov.

Michel Coornaert

Source: Pacific J. Math. Volume 159, Number 2 (1993), 241-270.

First Page: Show

Primary Subjects: 57S30

Secondary Subjects: 20F32, 30F35, 30F40, 53C23

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102634263
Zentralblatt MATH identifier: 0797.20029
Mathematical Reviews number (MathSciNet): MR1214072

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References

[Coo] M. Coornaert, Sur le domaine de discontinuite d'un groupe discret d'isome- tries d'un espace metrique hyperbolique, Rend. Sem.Mate. Univ. Cagliari,59 (1989), 185-195.

Mathematical Reviews (MathSciNet): MR92i:53037

Zentralblatt MATH: 0799.53054

[CDP] M. Coornaert, T. Delzant et A. Papadopoulos, Geometrie et Theorie des Groupes,les GroupesHyperboliques de Gromov,LectureNotes in Math., n 1441, Springer, 1990.

Mathematical Reviews (MathSciNet): MR92f:57003

[F] H. Federer, Geometric Measure Theory, Springer, 1969.

Mathematical Reviews (MathSciNet): MR41:1976

Zentralblatt MATH: 0176.00801

[GH] E. Ghys, P. de la Harpe, (eds.), Sur les Groupes Hyperboliques d'apres Mikhael Gromov,Progress in Mathematics, Vol. 83, Birkhauser, 1990.

Mathematical Reviews (MathSciNet): MR92f:53050

Zentralblatt MATH: 0731.20025

[Gro] M. Gromov, Hyperbolic groups, in Essays in Group Theory, (S. M. Gersten ed.), Springer, 1987.

Mathematical Reviews (MathSciNet): MR89e:20070

[Pat-1] S. J. Patterson, The limit set of a Fuchsian group, Acta Math., 136 (1976), 241-273.

Mathematical Reviews (MathSciNet): MR56:8841

Zentralblatt MATH: 0336.30005

[Pat-2] S. J. Patterson,Lectures on measures on limit sets ofKleinian groups,in Analytical and GeometricAspects of Hyperbolic Space, pp. 291-323, CambridgeUnviersity Press, 1987.

Mathematical Reviews (MathSciNet): MR89b:58122

Zentralblatt MATH: 0611.30036

[Sul-1] D. Sullivan, The density at infinity of a discrete group of hyperbolic motions, Publ. Math. I.H.E.S., 50 (1979), 171-202.

Mathematical Reviews (MathSciNet): MR81b:58031

Zentralblatt MATH: 0439.30034

[Sul-2] D. Sullivan,Entropy, Hausdorjf measures old and new and limit sets of geometrically finite Kleinian groups,Acta Math., 153 (1984), 259-277.

Mathematical Reviews (MathSciNet): MR86c:58093

Zentralblatt MATH: 0566.58022

[Sul-3] D. Sullivan,Discrete conformal groupsand measurable dynamics, Bull. Amer. Math. Soc, 6(1982), 57-73.

Mathematical Reviews (MathSciNet): MR83c:58066

Zentralblatt MATH: 0519.58042

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