Cover Image

Iterated function systems of holomorphic maps

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Abate, Marco, Short, Ian
Format:	Preprint
Published:	2025
Subjects:	Complex Variables Dynamical Systems 30D05, 37F99
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Parabolic dynamics according to Maurice Heins
by: Abate, Marco
Published: (2025)

A note on the boundary dynamics of holomorphic iterated function systems
by: Christodoulou, Argyrios
Published: (2025)

Ergodic exponential maps with escaping singular behaviours
by: Cui, Weiwei, et al.
Published: (2023)

Two remarks on transcendental shift-like maps on $\mathbb{C}^N$
by: Kaur, Ramanpreet
Published: (2026)

Bounded Fatou components of cosine functions
by: Qiu, Weiyuan, et al.
Published: (2025)

The Hausdorff dimension of escaping sets of meromorphic functions in the Speiser class
by: Bergweiler, Walter, et al.
Published: (2022)

Dynamics of complex harmonic mappings
by: Datt, Gopal, et al.
Published: (2024)

Bifurcation for families of Ahlfors island maps
by: Astorg, Matthieu, et al.
Published: (2024)

On the boundary of an immediate attracting basin of a hyperbolic entire function
by: Bergweiler, Walter, et al.
Published: (2024)

Structural stability in piecewise Möbius transformations
by: Leriche, Renato, et al.
Published: (2025)

On Dynamics of the Bungee set and the Filled Julia set of a Transcendental Semigroup
by: Kumari, Manisha, et al.
Published: (2025)

The escaping set in transcendental dynamics
by: Bergweiler, Walter, et al.
Published: (2025)

A Survey of Baker Wandering Domains
by: Das, Sukanta, et al.
Published: (2026)

Sum of the exponential and a polynomial: Singular values and Baker wandering domains
by: Das, Sukanta, et al.
Published: (2024)

Speiser meets Misiurewicz
by: Aspenberg, Magnus, et al.
Published: (2022)

Simultaneous linearization and centralizers of parabolic self-maps I: zero hyperbolic step
by: Contreras, Manuel D., et al.
Published: (2025)

Transcendental Julia Sets of Minimal Hausdorff Dimension
by: Burkart, Jack, et al.
Published: (2021)

Extremal rate of convergence in discrete hyperbolic and parabolic dynamics
by: Cruz-Zamorano, Francisco J., et al.
Published: (2025)

From discrete iteration in the unit disc to continuous semigroups of holomorphic functions
by: Christodoulou, Argyrios, et al.
Published: (2025)

The Slope Problem in Discrete Iteration
by: Contreras, Manuel D., et al.
Published: (2024)

Examples in Discrete Iteration of Arbitrary Intervals of Slopes
by: Contreras, Manuel D., et al.
Published: (2024)

Geometrically finite transcendental entire functions
by: Alhamed, Mashael, et al.
Published: (2020)

Characterization of the hyperbolic step of parabolic functions
by: Contreras, Manuel D., et al.
Published: (2023)

Slow-growing counterexamples to the strong Eremenko conjecture
by: Brown, Andrew P.
Published: (2024)

Spiders' webs in the Eremenko-Lyubich class
by: Rempe, Lasse
Published: (2024)

Singular orbits and Baker domains
by: Rempe, Lasse
Published: (2020)

Classifying multiply connected wandering domains
by: Ferreira, Gustavo Rodrigues, et al.
Published: (2024)

The Eremenko-Lyubich constant
by: Rempe, Lasse
Published: (2021)

On topology and singularities of quadrature domains
by: Rashmita, et al.
Published: (2025)

Characterization of finite shift via Herglotz's representation
by: Cruz-Zamorano, Francisco J.
Published: (2024)

Ergodicity in the dynamics of holomorphic correspondences
by: Londhe, Mayuresh
Published: (2023)

Non-bulging Baker domains for transcendental skew products
by: Benini, Anna Miriam, et al.
Published: (2025)

Criteria for extension of commutativity to fractional iterates of holomorphic self-maps in the unit disc
by: Contreras, Manuel D., et al.
Published: (2024)

Hausdorff dimension in quasiregular dynamics
by: Bergweiler, Walter, et al.
Published: (2022)

Bounded Fatou and Julia components of meromorphic functions
by: Martí-Pete, David, et al.
Published: (2022)

Wandering dynamics of transcendental functions
by: Evdoridou, Vasiliki, et al.
Published: (2026)

Prime orbit theorems for expanding Thurston maps: Lattès maps and split Ruelle operators
by: Li, Zhiqiang, et al.
Published: (2023)

Dynamics of Schwarz reflections: the mating phenomena
by: Lee, Seung-Yeop, et al.
Published: (2018)

Extremal rate of convergence in continuous dynamics
by: Cruz-Zamorano, Francisco J., et al.
Published: (2025)

The shrinking target and recurrence problem for non-autonomous systems
by: Bennett, Ayesha
Published: (2025)