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Mating quadratic maps with the modular group

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References

  1. Beardon, A.F.: Iteration of Rational Functions, Berlin Heidelberg New York: Springer 1991

    Google Scholar 

  2. Bullett, S.: Dynamics of quadratic correspondences. Nonlinearity 1 27–50, (1988)

    Google Scholar 

  3. Bullett, S., Penrose, C.: Geometry and topology of iterated correspondences: an illustrated survey. Inst. Hautes Étud. Sci. Preprint 1992)

  4. Bullett, S., Penrose, C.: Limit sets for correspondences. (in preparation 1993)

  5. Bullett, S., Penrose, C.: Perturbing circle-packing Kleinian groups as correspondences. (in preparation 1993)

  6. Douady, A. Hubbard, J.H.: Itération des polynômes quadratiques complexes. C. R. Acad. Sci., Paris294, 123–126 (1982)

    Google Scholar 

  7. Douady, A. Hubbard, J.H.: Etude dynamique des polynômes complexes I, II. Publ. Math. Orsay 1984–85

  8. Douady, A., Hubbard, J.H.: On the dynamics of polynomial-like mappings. Ann. Sci. Ec. Norm. Super.18, 287–343 (1985)

    Google Scholar 

  9. Keen, L. Series C.: The Riley slice of Schottky space. Warwick University (Preprint 1991)

  10. Maskit, B.: Kleinian groups, Berlin Heidelberg New York: Springer 1987

    Google Scholar 

  11. McGehee, R.: Attractors for closed relations on compact Hausdorff spaces. University of Minnesota (Preprint 1991)

  12. Sullivan, D.: Quasi-conformal homeomorphisms and dynamics I. Ann. Math.122, 401–418 (1985)

    Google Scholar 

  13. Sullivan, D.: Quasi-conformal homeomorphisms and dynamics II. Acta Math.155 243–260, (1985)

    Google Scholar 

  14. Sullivan, D.: Quasi-conformal homeomorphisms and dynamics III. Inst. Hautes Etud. Sci. (Preprint 1984)

  15. Tan Lei: Matings of Quadratic Polynomials. Ergodic Theory Dyn. Syst.12, 589–620 (1992)

    Google Scholar 

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Oblatum 22-II-1993 & 30-VI-1993

Research supported by SERC; the first author also thanks IHES for its warm hospitality during the course of the work presented here

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Bullett, S., Penrose, C. Mating quadratic maps with the modular group. Invent Math 115, 483–511 (1994). https://doi.org/10.1007/BF01231770

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