Discrete Holomorphic Local Dynamical Systems
Discrete Holomorphic Local Dynamical Systems
Discrete Holomorphic Local Dynamical Systems
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
336 Dierk Schleicher<br />
[BH99] Bergweiler, W., Hinkkanen, A.: On semiconjugation of entire functions. Math.<br />
Proc. Cambridge Philos. Soc. 126(3), 565–574 (1999)<br />
[BKS] Bergweiler, W., Karpińska, B., Stallard, G.: The growth rate of an entire<br />
function and the Hausdorff dimension of its Julia set. J. Lond. Math. Soc.,<br />
doi:10.1112/jlms/jdp042<br />
[BT96] Bergweiler, W., Terglane, N.: Weakly repelling fixpoints and the connectivity of<br />
wandering domains. Trans. Am. Math. Soc. 348(1), 1–12 (1996)<br />
[BRS08] Bergweiler, W., Rippon, P., Stallard, G.: Dynamics of meromorphic functions with<br />
direct or logarithmic singularities. Proc. Lond. Math. Soc. 97, 368-400 (2008)<br />
[Bo96] Bock, H.: On the dynamics of entire functions on the Julia set. Results Math. 30(1–<br />
2), 16–20 (1996)<br />
[BS] Bruin, H., Kaffl, A., Schleicher, D.: Symbolic Dynamcis of Quadratic Polynomials.<br />
Monograph, in preparation. Earlier version: Mittag-Leffler Preprint 7<br />
(2001/02)<br />
[BR06] Buff, X., Rückert, J.: Virtual immediate basins of Newton maps and asymptotic<br />
values. Int. Math. Res. Not., Art. ID 65498, 18 (2006)<br />
[DGH] Devaney, R., Goldberg, L., Hubbard, J.: A dynamical approximation to the exponential<br />
map of polynomials. Preprint, MSRI (1986). See [BDGHHR99].<br />
[BDGHHR99] Bodelon, C., Devaney, R., Goldberg, L., Hayes, M., Hubbard, J., Roberts, G.: Hairs<br />
for the complex exponential family. Internat. J. Bif. Chaos 9(8), 1517–1534 (1999)<br />
[DK84] Devaney, R., Krych, M.: Dynamics of exp(z). Ergod. Theor. Dyn. Syst. 4(1),<br />
35–52 (1984)<br />
[DT86] Devaney, R., Tangerman, F.: Dynamics of entire functions near the essential singularity.<br />
Ergod. Theor. Dyn. Syst. 6(4), 489–503 (1986)<br />
[DFJ02] Devaney, R., Fagella, N., Jarque, X.: Hyperbolic components of the complex exponential<br />
family. Fund. Math. 174(3), 193–215 (2002)<br />
[Do98] Domínguez, P.: Dynamics of transcendental meromorphic functions. Annales<br />
Academiæ Scientiarum Fennicæ, Mathematica 23, 225–250 (1998)<br />
[DH93] Douady, A., Hubbard, J.: A proof of Thurston’s topological characterization of<br />
rational functions. Acta Math. 171, 263–297 (1993)<br />
[Ep] Epstein, A.: Infinitesimal thurston rigidity and the fatou-shishikura inequality.<br />
Stony Brook IMS preprint 1 (1999)<br />
[Er78] Eremenko, A.: The set of asymptotic values of a finite order meromorphic function<br />
(Russian). Mat. Zametki 24(6), 779–783, 893 (1978). (English translation: Math.<br />
Notes 24(5–6), 914–916 (1978))<br />
[Er89] Eremenko, A.: On the iteration of entire functions. Banach Center Publ. 23,PWN,<br />
Warsaw, 339–345 (1989)<br />
[EL84a] Eremenko, A., Lyubich, M.: Iterates of entire functions. Soviet Math. Dokl. 30(3),<br />
592–594 (1984)<br />
[EL84b] Eremenko, A., Lyubich, M.: Iterates of entire functions (Russian). Preprint,<br />
Institute for Low Temperature, Kharkov 6 (1984)<br />
[EL87] Eremenko, A., Lyubich, M.: Examples of entire functions with pathological<br />
dynamics. J. Lond. Math. Soc. 36, 458–468 (1987)<br />
[EL89] Eremenko, A., Lyubich, M.: The dynamics of analytic transformations (Russian).<br />
Algebra i Analiz 1(3), 1–70 (1989); translation in Leningrad Math. J. 1(3),<br />
563–634 (1990)<br />
[EL92] Eremenko, A., Lyubich, M.: <strong>Dynamical</strong> properties of some classes of entire functions.<br />
Annales Inst. Fourier 42(4), 989–1020 (1992)<br />
[E1777] Euler, L.: De formulis exponentialibus replicatis. Acta Acad. Petropolitanae, 1,<br />
38–60 (1777)<br />
[Fa99] Fagella, N.: Dynamics of the complex standard family. J. Math. Anal. Appl.<br />
229(1), 1–31 (1999)<br />
[FaGa07] Fagella, N., Garijo, A.: The parameter planes of λ z m exp(z) for m ≥ 2. Comm.<br />
Math. Phys. 273(3), 755–783 (2007)