@article{ASENS_1989_4_22_1_55_0, author = {Devaney, Robert L. and Keen, Linda}, title = {Dynamics of meromorphic maps : maps with polynomial schwarzian derivative}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {22}, year = {1989}, pages = {55-79}, doi = {10.24033/asens.1575}, mrnumber = {90e:58071}, zbl = {0666.30017}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_1989_4_22_1_55_0} }
Devaney, Robert L.; Keen, Linda. Dynamics of meromorphic maps : maps with polynomial schwarzian derivative. Annales scientifiques de l'École Normale Supérieure, Tome 22 (1989) pp. 55-79. doi : 10.24033/asens.1575. http://gdmltest.u-ga.fr/item/ASENS_1989_4_22_1_55_0/
[A] Lectures on Quasiconformal Mapping, Van Nostrand, 1966. | MR 34 #336 | Zbl 0138.06002
,[AB] Riemann's Mapping Theorem for Variable Metrics (Ann. Math., Vol. 72, 1960, pp. 385-404). | MR 22 #5813 | Zbl 0104.29902
and ,[Be] On Sullivan's Proof of the Finiteness Theorem and the Eventual Periodicity Theorem, Preprint.
,[Bl] Complex Analytic Dynamics on the Riemann Sphere, (B.A.M.S., 1984, pp. 85-141). | MR 85h:58001 | Zbl 0558.58017
,[Ba] Wandering Domains in the Iteration of Entire Functions (Proc. London Math. Soc., Vol. 49, 1984, pp. 563-576). | MR 86d:58066 | Zbl 0523.30017
,[BR] Iteration of Exponential Functions (Ann. Acad. Sci. Fenn., Series 1A Math., Vol. 9, 1984, pp. 49-77). | MR 86d:58065 | Zbl 0558.30029
and ,[Br] Invariant Sets under Iteration of Rational Functions (Ark. für Matematik., Vol. 6, 1965, pp. 103-144). | MR 33 #2805 | Zbl 0127.03401
,[CGS] On the Iteration of a Rational function (Comm. Math. Phys., Vol. 91, 1983, pp. 267-277). | MR 85e:30040 | Zbl 0524.65032
, and ,[Do] Systèmes dynamiques holomorphes (Astérisque, Vol. 105, 1983, pp. 39-63). See also Erg. Theory and Dyn. Syst., Vol. 4, 1984, pp. 35-52. | Numdam | MR 85h:58090 | Zbl 0532.30019
,[DH] Itération des polynômes quadratiques complexes (C.R. Acad. Sci. Paris, t. 29, série I, 1982, pp. 123-126). | MR 83m:58046 | Zbl 0483.30014
and ,[DK] Dynamics of Exp (z) (Ergodic Theory and Dynamical Systems, Vol. 4, 1984, pp. 35-52). | MR 86b:58069 | Zbl 0567.58025
and ,[DT] Dynamics of Entire Functions Near the Essential Singularity (Ergodic Theory and Dynamical Systems, Vol. 6, 1986, pp. 496-503). | MR 88e:58057 | Zbl 0612.58020
and ,[GK] A Finiteness Theorem For A Dynamical Class of Entire Functions (Ergodic Theory and Dynamical Systems, Vol. 6, 1986, pp. 183-193). | MR 88b:58126 | Zbl 0657.58011
and ,[G] Monotone Equivalence and Topological Equivalence, Preprint.
,[H] On the Zeroes of the Functions of the Parabolic Cylinder (Ark. Mat. Astron. Fys., Vol. 18, No. 26, 1924). | JFM 50.0264.02 | JFM 51.0286.03
,[Ma] The Fractal Geometry of Nature, San Francisco, Freeman, 1982. | MR 84h:00021 | Zbl 0504.28001
,[Mc] Area and Hausdorff Dimension of Julia Sets of Entire Functions (Trans. A.M.S., 300, No. 1, 1987, pp. 329-342). | MR 88a:30057 | Zbl 0618.30027
,[Mi] On Iterates of ez (Ergodic Theory and Dynam. Sys., Vol. 1, 1981, pp. 103-106). | MR 82i:58058 | Zbl 0466.30019
,[Mo] Stable and Random Motions in Dynamical Systems, (Princeton : Princeton University Press, 1973). | MR 56 #1355 | Zbl 0271.70009
,[N] Über Riemannsche Flöchen mit endlich vielen Windungspunkten (Acta Math., Vol. 58, 1932). | JFM 58.0369.01 | Zbl 0004.35504
,[S] Quasiconformal Homeomorphisms and Dynamics I (Acta Math. 1985). | Zbl 0589.30022
,[Si] Stable Orbits and Bifurcations of Maps of the Interval (S.I.A.M. J. Appl. Math., Vol. 35, 1978, pp. 260-267). | MR 58 #13206 | Zbl 0391.58014
,