Includes bibliographical references.

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