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Special Session 51

Holomorphic Dynamics in the Complex Plane and Higher Dimensions

Organizer(s):

Robert L. Devaney

Xavier Jarque

Janina Kotus

Introduction:
This special session will feature talks about complex dynamical systems in one dimension --- polynomial dynamics, rational dynamics, and transcendental dynamics --- as well as higher dimensional systems and holomorphic vector fields.

List of abstracts Go Back
Name	Country	Title
Daniel M Look	USA	Checkerboard Julia Sets
Kealey Dias	Germany	Parameter Space of Degree $d$ Complex Polynomial Vector Fields in $\mathbb{C}$
Bodil Branner	Denmark	The Structure Theorem of Degree $d$ Complex Polynomial Vector Fields in $\mathbb C$
Clinton P Curry	USA	Condense Wandering Triangles
Monica Moreno~Rocha	Mexico	A combinatorial description of Sierpinski Julia sets
Robert L Devaney	USA	Julia sets converging to filled Julia sets of $z^2 + c$
anna M Benini	Spain	A taste of Transcendental Dynamics
Helena Mihaljevic-Brandt	Germany	Linearizers of entire functions I
Krzysztof Bara\'{n}ski	Poland	Hausdorff dimension of the Sierpi\'{n}ski Julia sets
J\"{o}rn Peter	Germany	Linearizers of entire functions II
Tania Garfias-Macedo	Germany	Perturbing Baker domains into attracting basins.
Elizabeth D Russell	USA	Complex Dynamics and Symbolic Dynamics
John C Mayer	USA	Buried points in Julia sets
Antonio Garijo	Spain	Singular Perturbations in the Quadratic Family with Multiple Poles
Nuria Fagella	Spain	Configurations of Herman rings for meromorphic transcendental functions
Boguslawa Karpinska	Poland	Thermodynamic formalism for some meromorphic maps
Paul Blanchard	USA	Checkerboard Julia Sets II
Arnaud Cheritat	France	Two theorems of Herman on Siegel disks
Pascale Roesch	France	Periodic slices in parameter space, focus on hyperbolic components
Xavier Jarque	Spain	Sierpinski curve Julia sets in rational maps of degree two
Lasse Rempe	England	Density of Hyperbolicity in Spaces of Real Transcendental Entire Functions
Magnus Aspenberg	Sweden	Mating cubic polynomials
Linda Keen	USA	Generalized Riley Slices