@article {AO, AUTHOR = {Aarts, Jan M. and Oversteegen, Lex G.}, TITLE = {The geometry of {J}ulia sets}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {338}, YEAR = {1993}, NUMBER = {2}, PAGES = {897--918} } @book {Ah, AUTHOR = {Ahlfors, Lars V.}, TITLE = {Lectures on quasiconformal mappings}, SERIES = {Manuscript prepared with the assistance of Clifford J. Earle, Jr. Van Nostrand Mathematical Studies, No. 10}, PUBLISHER = {D. Van Nostrand Co., Inc., Toronto, Ont.-New York-London}, YEAR = {1966}, PAGES = {v+146}, } @incollection {Ast, AUTHOR = {Astala, Kari}, TITLE = {Planar quasiconformal mappings; deformations and interactions}, BOOKTITLE = {Quasiconformal mappings and analysis (Ann Arbor, MI, 1995)}, PAGES = {33--54}, PUBLISHER = {Springer}, ADDRESS = {New York}, YEAR = {1998}, } @article {B, AUTHOR = {Baker, I. N.}, TITLE = {Wandering domains in the iteration of entire functions}, JOURNAL = {Proc. London Math. Soc. (3)}, FJOURNAL = {Proceedings of the London Mathematical Society. Third Series}, VOLUME = {49}, YEAR = {1984}, NUMBER = {3}, PAGES = {563--576} } @book {Beardon, AUTHOR = {Beardon, Alan F.}, TITLE = {Iteration of rational functions}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {132}, NOTE = {Complex analytic dynamical systems}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1991}, PAGES = {xvi+280}} @article {Be, AUTHOR = {Bergweiler, Walter}, TITLE = {Iteration of meromorphic functions}, JOURNAL = {Bull. Amer. Math. Soc. (N.S.)}, FJOURNAL = {American Mathematical Society. Bulletin. New Series}, VOLUME = {29}, YEAR = {1993}, NUMBER = {2}, PAGES = {151--188}} @Unpublished{IC, author = {Coiculescu, {I}on}, title = {Hairy {J}ulia sets}, note = {in preparation}, OPTyear = {2005} } @book {Deva, AUTHOR = {Devaney, Robert L.}, TITLE = {An introduction to chaotic dynamical systems}, SERIES = {Studies in Nonlinearity}, NOTE = {Reprint of the second (1989) edition}, PUBLISHER = {Westview Press}, ADDRESS = {Boulder, CO}, YEAR = {2003}, PAGES = {xvi+335},} @article {D, AUTHOR = {Devaney, Robert L.}, TITLE = {Cantor bouquets, explosions, and {K}naster continua: dynamics of complex exponentials}, JOURNAL = {Publ. Mat.}, FJOURNAL = {Publicacions Matem\`atiques}, VOLUME = {43}, YEAR = {1999}, NUMBER = {1}, PAGES = {27--54}} @article {DT, AUTHOR = {Devaney, Robert L. and Tangerman, Folkert}, TITLE = {Dynamics of entire functions near the essential singularity}, JOURNAL = {Ergodic Theory Dynam. Systems}, FJOURNAL = {Ergodic Theory and Dynamical Systems}, VOLUME = {6}, YEAR = {1986}, NUMBER = {4}, PAGES = {489--503}} @article {DU91b, AUTHOR = {Denker, M. and Urba{\'n}ski, M.}, TITLE = {On {S}ullivan's conformal measures for rational maps of the {R}iemann sphere}, JOURNAL = {Nonlinearity}, FJOURNAL = {Nonlinearity}, VOLUME = {4}, YEAR = {1991}, NUMBER = {2}, PAGES = {365--384} } @article {DU91c, AUTHOR = {Denker, M. and Urba{\'n}ski, M.}, TITLE = {Hausdorff and conformal measures on {J}ulia sets with a rationally indifferent periodic point}, JOURNAL = {J. London Math. Soc. (2)}, FJOURNAL = {Journal of the London Mathematical Society. Second Series}, VOLUME = {43}, YEAR = {1991}, NUMBER = {1}, PAGES = {107--118}} @article {DU91a, AUTHOR = {Denker, Manfred and Urba{\'n}ski, Mariusz}, TITLE = {On the existence of conformal measures}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {328}, YEAR = {1991}, NUMBER = {2}, PAGES = {563--587}} @book {Du, AUTHOR = {Duren, Peter L.}, TITLE = {Univalent functions}, SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]}, VOLUME = {259}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1983}, PAGES = {xiv+382}} @article {EL, AUTHOR = {Er{\"e}menko, A. {\`E}. and Lyubich, M. Yu.}, TITLE = {Dynamical properties of some classes of entire functions}, JOURNAL = {Ann. Inst. Fourier (Grenoble)}, FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier}, VOLUME = {42}, YEAR = {1992}, NUMBER = {4}, PAGES = {989--1020}} @book {Fa, AUTHOR = {Falconer, Kenneth}, TITLE = {Techniques in fractal geometry}, PUBLISHER = {John Wiley \& Sons Ltd.}, ADDRESS = {Chichester}, YEAR = {1997}, PAGES = {xviii+256}} @article {Fatou1, AUTHOR = {Fatou, P.}, TITLE = {Sur l'iteration des functions transcendantes entieres}, JOURNAL = {Acta Math.}, VOLUME = {47}, YEAR = {1926}, PAGES = {337--370} } @book {GL, AUTHOR = {Gardiner, Frederick P. and Lakic, Nikola}, TITLE = {Quasiconformal {T}eichm\"uller theory}, SERIES = {Mathematical Surveys and Monographs}, VOLUME = {76}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {2000}, PAGES = {xx+372}, } @article {GK, AUTHOR = {Goldberg, Lisa R. and Keen, Linda}, TITLE = {A finiteness theorem for a dynamical class of entire functions}, JOURNAL = {Ergodic Theory Dynam. Systems}, VOLUME = {6}, YEAR = {1986}, NUMBER = {2}, PAGES = {183--192}, MRREVIEWER = {M. Rees -- she was my real analysis instructor! (MD) }, } @article {Julia1, AUTHOR = {Julia, G}, TITLE = {Memoire sur l'iteration des functions rationelles}, JOURNAL = {J.Math. Pure Appl.}, VOLUME = {8}, YEAR = {1918}, NUMBER = {1}, PAGES = {47--245} } @book {LV, AUTHOR = {Lehto, O. and Virtanen, K. I.}, TITLE = {Quasiconformal mappings in the plane}, EDITION = {Second}, NOTE = {Translated from the German by K. W. Lucas, Die Grundlehren der mathematischen Wissenschaften, Band 126}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1973}, PAGES = {viii+258}, } @article {MSS, AUTHOR = {Ma{\~n}{\'e}, R. and Sad, P. and Sullivan, D.}, TITLE = {On the dynamics of rational maps}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie}, VOLUME = {16}, YEAR = {1983}, NUMBER = {2}, PAGES = {193--217}} @article {McM, AUTHOR = {McMullen, Curt}, TITLE = {Area and {H}ausdorff dimension of {J}ulia sets of entire functions}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {300}, YEAR = {1987}, NUMBER = {1}, PAGES = {329--342}} @book {Mil, AUTHOR = {Milnor, John}, TITLE = {Dynamics in one complex variable}, NOTE = {Introductory lectures}, PUBLISHER = {Friedr. Vieweg \& Sohn}, ADDRESS = {Braunschweig}, YEAR = {1999}, PAGES = {viii+257} } @book {Moros, AUTHOR = {Morosawa, S. and Nishimura, Y. and Taniguchi, M. and Ueda, T.}, TITLE = {Holomorphic dynamics}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {66}, NOTE = {Translated from the 1995 Japanese original and revised by the authors}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {2000}, PAGES = {xii+338}} } @Unpublished{PU, author = {Przytycki, Feliks and Urba{\'n}ski, Mariusz}, title = {Fractals in the plane:The Ergodic theory methods}, note = {\texttt{www.unt.edu/urbanski/books}}} @Article{Ritt, author = {Ritt, J.F.}, title = {On the iteration of rational functions}, journal = {Trans. Amer. Math. Soc.}, year = {1920}, OPTvolume = {21}, OPTpages = {348--356}, } @article {UZ2, AUTHOR = {Urba{\'n}ski, Mariusz and Zdunik, Anna}, TITLE = {Real analyticity of {H}ausdorff dimension of finer {J}ulia sets of exponential family}, JOURNAL = {Ergodic Theory Dynam. Systems}, FJOURNAL = {Ergodic Theory and Dynamical Systems}, VOLUME = {24}, YEAR = {2004}, NUMBER = {1}, PAGES = {279--315}} @article {UZ1, AUTHOR = {Urba{\'n}ski, Mariusz and Zdunik, Anna}, TITLE = {The finer geometry and dynamics of the hyperbolic exponential family}, JOURNAL = {Michigan Math. J.}, FJOURNAL = {The Michigan Mathematical Journal}, VOLUME = {51}, YEAR = {2003}, NUMBER = {2}, PAGES = {227--250}} @Unpublished{UZ3, author = {Urba{\'n}ski, Mariusz and Zdunik, Anna}, title = {Geometry and ergodic theory of non-hyperbolic exponential maps}, note = {preprint}, OPTyear = {2003} } @book {Zi, AUTHOR = {Zinsmeister, Michel}, TITLE = {Thermodynamic formalism and holomorphic dynamical systems}, SERIES = {SMF/AMS Texts and Monographs}, VOLUME = {2}, NOTE = {Translated from the 1996 French original by C. Greg Anderson}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {2000}, PAGES = {x+82}}