Transcendental dynamics and beyond: Topics in Complex Dynamics 2021
Course presentations
Monday 19th of April
TBA
Lasse Rempe, University of Liverpool
The parameter space of a family of meromorphic functions
Tao Chen, The City University of New York
Dynamics of Zorich maps
Athanasios Tsantaris, University of Nottingham
Finding polynomial roots using complex analysis, dynamical systems, computer algebra
Dierk Schleicher, Institut de Mathématiques de Marseille
Harmonic and Subharmonic Functions
Phil Rippon & Gwyneth Stallard, Open University
Tuesday 20th of April
Iterating the minimum modulus
Daniel Nicks, University of Nottingham
Entire functions with Cantor bouquet Julia sets
Leticia Pardo Simón, Intitute for Mathematics, Polish Acaedmy of ScienceS
Comparison of Newton and Ehrlich-Aberth rootfindingdynamical systems: practice and theory
Sergey Shemyakov, Aix-Marseille University
Wednesday 21st of April
TBA
Adam Epstein, Warwick University
On the geometry of simply connected wandering domains
Luka Boc Thaler, University of Ljubljana
A class of Newton maps with Julia sets of Lebesgue measure zero
Mareike Wolff, University of Kiel
Trees, triangles and tracts
Christopher Bishop, Stony Brook University
An alternative construction of Hausdorff dimension 1 Julia sets
Jack Burkart, Stony Brook Univeristy
Thursday 22nd of April
TBA
Adam Epstein, Warwick University
On the geometry of simply connected wandering domains
Luka Boc Thaler, University of Ljubljana
A class of Newton maps with Julia sets of Lebesgue measure zero
Mareike Wolff, University of Kiel
Achievable connectivities of Fatou components for a family of rational maps
Dan Paraschiv, Universitat de Barcelona
On the computational complexity of Julia sets in the exponential family
David Martí-Pete, University of Liverpool
Connectivity and unboundedness of Fatou components for elliptic functions
Mónica Moreno Rocha, Centro de Investigación en Matemáticas
Typical behaviour of boundary points of Fatou components of transcendental maps
Krzysztof Barański, University of Warsaw
Friday 23rd of April
TBA
Adam Epstein, Warwick University
On the geometry of simply connected wandering domains
Luka Boc Thaler, University of Ljubljana
A class of Newton maps with Julia sets of Lebesgue measure zero
Mareike Wolff, University of Kiel
Videos
APRIL 19, 2021
Harmonic and Subharmonic Functions
Phil Rippon and Gwyneth Stallard
(Open University – UK)
Singular orbits and Baker domains
Lasse Rempe
(University of Liverpool)
Finding polynomial roots using complex analysis, dynamical systems, computer algebra
D. Schleicher
(Institut de Mathematiques de Marseille)
The parameter space of a family of meromorphic functions
Tao Chen
The City University of New York
Dynamics of Zorich maps
Athanasios Tsantaris
University of Nottingham
Boundary dynamics of simply connected wandering domains
Vasiliki Evdoridou
Open University
APRIL 20, 2021
Dynamics of transcentental Henon maps
Anna Benini
Università di Parma
Iterating the minimum modulus
Daniel Nicks
University of Nottingham
Interpolation of Power Mappings
Kirill Lazebnik
University of Toronto
On the formulas of meromorphic functions with periodic Herman rings
Fei Yang
Nanjing University
Entire functions with Cantor bouquet Julia sets
Leticia Pardo Simón
Polish Acaedmy of Sciences
Transcendental dynamics and iterations on infinitedimensional Teichmüller spaces
Konstantin Bogdanov
Aix-Marseille Université
Internal dynamics and connectivity of multiply connected wandering domains of meromorphic functions
Gustavo Rodrigues Ferreira
Open University
Comparison of Newton and Ehrlich-Aberth rootfinding dynamical systems: practice and theory
Sergey Shemyakov
Aix-Marseille University
APRIL 21, 2021
Using complex dynamical methods to describe the computational complexity of approximating the independence polynomial
Han Peters
University of Amsterdam
TBA
Adam Epstein
Warwick University
On the geometry of simply connected wandering domains
Luka Boc Thaler
University of Ljubljana
Trees, triangles and tracts
Christopher Bishop
Stony Brook University
A class of Newton maps with Julia sets of Lebesgue measure zero
Mareike Wolff
University of Kiel
APRIL 22, 2021
Connectivity and unboundedness of Fatou components for elliptic functions
Mónica Moreno Rocha
Centro de Investigación en Matemáticas
An alternative construction of Hausdorff dimension 1 Julia sets
Jack Burkart
Stony Brook Univeristy
Docile entire functions
James Waterman
University of Liverpool
The Weierstrass root finder is not generally convergent
Bernhard Reinke
Aix-Marseille University
Achievable connectivities of Fatou components for a family of rational maps
Dan Paraschiv
Universitat de Barcelona
On the computational complexity of Julia sets in the exponential family
David Martí-Pete
University of Liverpool
Typical behaviour of boundary points of Fatou components of transcendental maps
Krzysztof Barański
University of Warsaw
TBA
Matthieu Astorg
Institut Denis Poisson
APRIL 23, 2021
A Central Limit Theorem for Inner Functions
Artur Nicolau
Universitat Autònoma de Barcelona
On how to use box mappings as “black boxes”
Kostya Drach
Aix-Marseille University
On the dimension of escaping sets for exponentials
Bogusława Karpińska,
Warsaw U. of Technology