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Volumn 21, Issue 1, 1996, Pages 3-29

Dirichlet points, Garnett points, and infinite ends of hyperbolic surfaces I

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EID: 0030458613     PISSN: 1239629X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (16)
  • 1
    • 0010886807 scopus 로고    scopus 로고
    • Hyperbolic structures for surfaces of infinite type
    • to appear
    • BASMAJIAN, A.: Hyperbolic structures for surfaces of infinite type. - Trans. Amer. Math Soc. (to appear).
    • Trans. Amer. Math Soc.
    • Basmajian, A.1
  • 3
    • 84966248066 scopus 로고
    • The stable neighborhood theorem and lengths of closed geodesics
    • BASMAJIAN, A.: The stable neighborhood theorem and lengths of closed geodesics. - Proc. Amer. Math. Soc. 119, 1993, 217-224.
    • (1993) Proc. Amer. Math. Soc. , vol.119 , pp. 217-224
    • Basmajian, A.1
  • 5
    • 0002156308 scopus 로고
    • Limit points of Kleinian groups and finite-sided fundamental polyhedra
    • BEARDON, A.F., and B. MASKIT: Limit points of Kleinian groups and finite-sided fundamental polyhedra. - Acta Math. 132, 1974, 1-12.
    • (1974) Acta Math. , vol.132 , pp. 1-12
    • Beardon, A.F.1    Maskit, B.2
  • 6
    • 0000595163 scopus 로고
    • Notes on notes of Thurston
    • edited by D.B.A. Epstein. London Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press, Cambridge
    • CANARY, R.D., D.B.A. EPSTEIN, and P. GREEN: Notes on notes of Thurston. - In: Analytic and Geometric Aspects of Hyperbolic Space, edited by D.B.A. Epstein. London Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press, Cambridge, 1987, 3-92.
    • (1987) Analytic and Geometric Aspects of Hyperbolic Space , pp. 3-92
    • Canary, R.D.1    Epstein, D.B.A.2    Green, P.3
  • 7
    • 0000506625 scopus 로고
    • The combinatorial structure of cocompact discrete hyperbolic groups
    • CANNON, J.W.: The combinatorial structure of cocompact discrete hyperbolic groups. -Geom. Dedicata 16, 1984, 123-148.
    • (1984) Geom. Dedicata , vol.16 , pp. 123-148
    • Cannon, J.W.1
  • 8
    • 0011362611 scopus 로고
    • Linearization and mappings onto pseudocircle domains
    • HAAS, A.: Linearization and mappings onto pseudocircle domains. - Trans. Amer. Math. Soc. 282, 1984, 415-429.
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 415-429
    • Haas, A.1
  • 9
    • 0002594183 scopus 로고
    • Diophantine approximation on hyperbolic Riemann surfaces
    • HAAS, A.: Diophantine approximation on hyperbolic Riemann surfaces. - Acta Math. 156, 1986, 33-82.
    • (1986) Acta Math. , vol.156 , pp. 33-82
    • Haas, A.1
  • 10
    • 84972580696 scopus 로고
    • Diophantine approximation on hyperbolic orbifolds
    • HAAS, A.: Diophantine approximation on hyperbolic orbifolds. - Duke Math. J. 56, 1988, 531-547.
    • (1988) Duke Math. J. , vol.56 , pp. 531-547
    • Haas, A.1
  • 11
    • 0002945497 scopus 로고
    • Compact 3-manifolds of constant negative curvature fibering over the circle
    • JORGENSEN, T.: Compact 3-manifolds of constant negative curvature fibering over the circle. - Ann. of Math. 106, 1977, 61-72.
    • (1977) Ann. of Math. , vol.106 , pp. 61-72
    • Jorgensen, T.1
  • 12
  • 13
    • 0003327638 scopus 로고
    • The ergodic theory of discrete groups
    • Cambridge Univ. Press, Cambridge
    • NICHOLLS, P.J.: The Ergodic Theory of Discrete Groups. - London Math. Soc. Lecture Note Ser. 143, Cambridge Univ. Press, Cambridge, 1989.
    • (1989) London Math. Soc. Lecture Note Ser. , vol.143
    • Nicholls, P.J.1
  • 14
    • 0011305922 scopus 로고
    • Garnett points for Fuchsian groups
    • NICHOLLS, P.J.: Garnett points for Fuchsian groups. - Bull. London Math. Soc. 12, 1989, 216-218.
    • (1989) Bull. London Math. Soc. , vol.12 , pp. 216-218
    • Nicholls, P.J.1
  • 16
    • 0000948719 scopus 로고
    • On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions
    • edited by I. Kra and B. Maskit. Ann. of Math. Studies 97, Princeton Univ. Press, Princeton
    • SULLIVAN, D.: On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. - In: Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference, edited by I. Kra and B. Maskit. Ann. of Math. Studies 97, Princeton Univ. Press, Princeton, 1981, 465-496.
    • (1981) Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference , pp. 465-496
    • Sullivan, D.1


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