Project Euclid

References

• Akaza, T., Poincaré theta-series and singular sets of Schottky groups. Nagoya Math. J., 24 (1964), 43–65.
  Zentralblatt MATH: 0131.08301
  Mathematical Reviews (MathSciNet): MR168759
  
• — (3/2)-dimensional measure of singular sets of some Kleinian groups, J. Math. Soc. Japan, 24 (1972), 448–464.
  Zentralblatt MATH: 0235.30020
  Mathematical Reviews (MathSciNet): MR310236
  Digital Object Identifier: doi:10.2969/jmsj/02430448
  
• Brooks, R., The spectral geometry of the Apollonian packing. Comm. Pure Appl. Math., 38 (1985), 357–366.
  Zentralblatt MATH: 0575.52009
  Mathematical Reviews (MathSciNet): MR792395
  
• — On the deformation theory of classical Schottky groups. Duke Math. J., 52 (1985), 1009–1024.
  Zentralblatt MATH: 0587.58060
  Mathematical Reviews (MathSciNet): MR816397
  Digital Object Identifier: doi:10.1215/S0012-7094-85-05253-6
  
• Burnside, W., On a class of automorphic functions. Proc. London Math. Soc., 23 (1891), 49–88.
• Doyle, P. G. & Snell, J. L., Random walks and electric networks. MAA Carus Monographs, 1984.
• Holland, C. J., A minimum principle for the principal eigenvalue for second-order linear elliptic equations with natural boundary conditions. Comm. Pure. Appl. Math., 31 (1978), 509–519.
  Zentralblatt MATH: 0388.35053
  Mathematical Reviews (MathSciNet): MR466940
  
• Maxwell, J. C., Treatise on Electricity and Magnetism. 3d ed., Clarendon, Oxford, 1891.
  Zentralblatt MATH: 1049.01021
  
• Myrberg, P. J., Zur Theorie der Konvergenz der Poincaréschen Reihen. Ann. Acad. Sci. Fenn. Ser. A, 9 (1916), 1–75.
• — Zur Theorie der Konvergenz der Poincaréschen Reihen (zweite Abh.). Ann. Acad. Sci. Fenn. Ser. A, 11 (1917), 1–29.
• Patterson, S. J., The limit set of a Fuchsian group. Acta Math., 136 (1976), 241–273.
  Zentralblatt MATH: 0336.30005
  Mathematical Reviews (MathSciNet): MR450547
  Digital Object Identifier: doi:10.1007/BF02392046
  
• — Some examples of Fuchsian groups. Proc. London Math. Soc., 39 (1979), 276–298.
  Zentralblatt MATH: 0393.30038
  Mathematical Reviews (MathSciNet): MR548981
  
• Phillips, R. & Sarnak, P., The Laplacian for domains in hyperbolic space and limit sets of Kleinian groups. Acta Math., 155 (1985), 173–241.
  Zentralblatt MATH: 0611.30037
  Mathematical Reviews (MathSciNet): MR806414
  Digital Object Identifier: doi:10.1007/BF02392542
  
• Rayleigh, J. W. S., On the theory of resonance, in Collected scientific papers, vol. 1, pp. 33–75, Cambridge Univ. Press, Cambridge, 1899.
• Sarnak, P., Domains in hyperbolic space and limit sets of Kleinian groups, in Differential Equations, ed. I. W. Knowles and R. T. Lewis, pp. 485–500. North-Holland, Amsterdam, 1984.
• Schottky, F., Über eine specielle Function, welche bei einer bestimmten linearen Transformation ihres Argumentes unverändert bleibt. Crelle’s J., 101 (1887), 227–272.
  Zentralblatt MATH: 19.0424
  
• Sullivan, D., Discrete conformal groups and measurable dynamics. Bull. Amer. Math. Soc., 6 (1982), 57–73.
  Zentralblatt MATH: 0489.58027
  Mathematical Reviews (MathSciNet): MR634434
  Digital Object Identifier: doi:10.1090/S0273-0979-1982-14966-7
  
• — Entropy, Hausdorff measures old and new, and the limit sets of geometrically finite Kleinian groups. Acta Math., 153 (1983), 259–277.
  Mathematical Reviews (MathSciNet): MR766265
  Digital Object Identifier: doi:10.1007/BF02392379