@article{PMIHES_1995__82__97_0, author = {Tukia, Pekka}, title = {The limit map of a homomorphism of discrete {M\"obius} groups}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {97--132}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {82}, year = {1995}, mrnumber = {1383214}, zbl = {0858.30034}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1995__82__97_0/} }
TY - JOUR AU - Tukia, Pekka TI - The limit map of a homomorphism of discrete Möbius groups JO - Publications Mathématiques de l'IHÉS PY - 1995 SP - 97 EP - 132 VL - 82 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1995__82__97_0/ LA - en ID - PMIHES_1995__82__97_0 ER -
Tukia, Pekka. The limit map of a homomorphism of discrete Möbius groups. Publications Mathématiques de l'IHÉS, Tome 82 (1995), pp. 97-132. http://www.numdam.org/item/PMIHES_1995__82__97_0/
[BM] Limit points of Kleinian groups and finite sided fundamental polyhedra, Acta Math., 132 (1974), 1-12. | MR | Zbl
and ,[B] Bouts des variétés hyperboliques de dimension 3, Ann. Math., 124 (1986), 71-158. | MR | Zbl
,[CT] Group invariant Peano curves, Manuscript.
and ,[FE] Geometric measure theory, Springer-Verlag, 1969. | MR | Zbl
,[FL] Group completions and limit sets of Kleinian groups, Inventions math., 57 (1980), 205-218. | MR | Zbl
,[GM] Discrete quasiconformal groups. I, Proc. London. Math. Soc. (3) 55 (1987), 331-358. | MR | Zbl
and ,[M] Infinite group actions on spheres, Rev. Math. Iberoamericana, 4 (1988), 407-451. | MR | Zbl
,[MT] Convergence and Möbius groups, in Holomorphic Functions and Moduli II, ed. by D. Drasin et al., MSRI Publications 11 (1988), 87-140. | MR | Zbl
and ,[MA] On boundaries of Teichmüller spaces and on kleinian groups : II, Ann. Math., 91 (1970), 607-639. | MR | Zbl
,[M1] Ein Approximationssatz für die Fuchsschen Gruppen, Acta Math., 57 (1931), 389-401. | JFM | Zbl
,[M2] Die Kapazität der singulären Menge der linearen Gruppen, Ann. Acad. Sci. Fenn., Ser. A I, 10 (1941), 1-19. | JFM | Zbl
,[NE] Analytic Functions, Springer-Verlag, 1970. | MR | Zbl
,[NI] The ergodic theory of discrete groups, London Mathematical Society Lecture Notes Series, 143 (1989). | MR | Zbl
,[P] The limit set of a Fuchsian group, Acta Math., 136 (1976), 241-273. | MR | Zbl
,[S1] The density at infinity of a discrete group of hyperbolic motions, Publ. Math. Inst. Hautes Étud. Sci., 50 (1979), 171-202. | Numdam | MR | Zbl
,[S2] Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups, Acta Math., 153 (1984), 259-277. | MR | Zbl
,[T] The geometry and topology of three-manifolds, Lecture Notes at the University of Princeton, 1980.
,[T1] The Hausdorff dimension of the limit set of a geometrically finite Kleinian group, Acta Math., 152 (1984), 127-140. | MR | Zbl
,[T2] On isomorphisms of geometrically finite Kleinian groups, Publ. Math. Inst. Hautes Étud. Sci., 61 (1985), 171-214. | Numdam | MR | Zbl
,[T3] A remark on a paper by Floyd, in Holomorphic functions and moduli, II, ed. by D. Drasin et al., MSRI Publications, 11 (1988), 165-172. | MR | Zbl
,[T4] A rigidity theorem for Möbius groups, Inventiones math., 97 (1989), 405-431. | MR | Zbl
,[T5] The Poincaré series and the conformal measure of conical and Myrberg limit points, J. Anal. Math., 62 (1994), 241-259. | MR | Zbl
,[T6] On discrete groups of the unit disk and their isomorphisms, Ann. Acad. Sci. Fenn., Ser. A I, 504 (1972), 1-45. | MR | Zbl
,[T7] On the dimension of limit sets of geometrically finite Möbius groups, Ann. Acad. Sci. Fenn., Ser. A I, 19 (1994), 11-24. | MR | Zbl
,[T8] Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group, Acta Math., 154 (1985), 153-193. | MR | Zbl
,[T9] Convergence groups and Gromov's hyperbolic metric spaces, New Zealand J. Math., 23 (1994), 157-187. | MR | Zbl
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