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Complex dynamics : [electronic resource] twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics--Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / Robert L. Devaney, Linda Keen, editors.

By: AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics: Twenty-five Years after the Appearance of the Mandelbrot Set (2004 : Snowbird, Utah)Contributor(s): Devaney, Robert L, 1948- | Keen, LindaMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 396.Publication details: Providence, R.I. : American Mathematical Society, c2006Description: 1 online resource (viii, 206 p. : ill.)ISBN: 9780821879863 (online)Subject(s): Mandelbrot sets -- Congresses | Dynamics -- Congresses | System theory -- Congresses | Mappings (Mathematics) -- Congresses | Domains of holomorphy -- Congresses | Polynomials -- Congresses | Numbers, Complex -- CongressesAdditional physical formats: Complex dynamics :DDC classification: 514/.742 LOC classification: QA614.86 | .A47 2004Online resources: Contents | Contents

Contents:

Indecomposable continua and the Julia sets of rational maps / Douglas K. Childers, John C. Mayer, H. Murat Tuncali and E. D. Tymchatyn -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07390 The H�enon family: the complex horseshoe locus and real parameter space / Eric Bedford and John Smillie -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07391 Baby Mandelbrot sets adorned with halos in families of rational maps / Robert L. Devaney -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07392 Blowup points and baby Mandelbrot sets for singularly perturbed rational maps / Robert L. Devaney, Matt Holzer and David Uminsky -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07393 Some remarks on the connectivity of Julia sets for 2-dimensional diffeomorphisms / Romain Dujardin -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07394 Rigorous numerical studies of the dynamics of polynomial skew products of ${\Bbb C}^2$ / Suzanne Lynch Hruska -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07395 Accumulation points of iterated function systems / Linda Keen and Nikola Lakic -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07397 Parabolic perturbation of the family $\lambda \tan z$ / Linda Keen and Shenglan Yuan -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07398 Polynomial vector fields, dessins d'enfants, and circle packings / Kevin M. Pilgrim -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07399 Siegel disks whose boundaries have only two complementary domains / James T. Rogers, Jr. -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07400 Non-uniform porosity for a subset of some Julia sets / Kimberly A. Roth -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07401 The existence of conformal measures for some transcendental meromorphic functions / Bart�omiej Skorulski -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07402 Open problems / Robert L. Devaney and Linda Keen -- http://www.ams.org/conm/396/ http://dx.doi.org/10.1090/conm/396/07396

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Includes bibliographical references.

Indecomposable continua and the Julia sets of rational maps / Douglas K. Childers, John C. Mayer, H. Murat Tuncali and E. D. Tymchatyn -- The H�enon family: the complex horseshoe locus and real parameter space / Eric Bedford and John Smillie -- Baby Mandelbrot sets adorned with halos in families of rational maps / Robert L. Devaney -- Blowup points and baby Mandelbrot sets for singularly perturbed rational maps / Robert L. Devaney, Matt Holzer and David Uminsky -- Some remarks on the connectivity of Julia sets for 2-dimensional diffeomorphisms / Romain Dujardin -- Rigorous numerical studies of the dynamics of polynomial skew products of ${\Bbb C}^2$ / Suzanne Lynch Hruska -- Accumulation points of iterated function systems / Linda Keen and Nikola Lakic -- Parabolic perturbation of the family $\lambda \tan z$ / Linda Keen and Shenglan Yuan -- Polynomial vector fields, dessins d'enfants, and circle packings / Kevin M. Pilgrim -- Siegel disks whose boundaries have only two complementary domains / James T. Rogers, Jr. -- Non-uniform porosity for a subset of some Julia sets / Kimberly A. Roth -- The existence of conformal measures for some transcendental meromorphic functions / Bart�omiej Skorulski -- Open problems / Robert L. Devaney and Linda Keen --

http://www.ams.org/conm/396/

http://dx.doi.org/10.1090/conm/396/07390

http://www.ams.org/conm/396/

http://dx.doi.org/10.1090/conm/396/07391

http://www.ams.org/conm/396/

http://dx.doi.org/10.1090/conm/396/07392

http://www.ams.org/conm/396/

http://dx.doi.org/10.1090/conm/396/07393

http://www.ams.org/conm/396/

http://dx.doi.org/10.1090/conm/396/07394

http://www.ams.org/conm/396/

http://dx.doi.org/10.1090/conm/396/07395