Cover Image

The Limit Sets of Linear and Nonlinear Infinite IFSs Related to Complex Continued Fractions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Okamoto, Takumi
Format:	Preprint
Published:	2026
Subjects:	Dynamical Systems 37C45 (Primary), 37F35 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Nonlinearity, Fractals, Fourier decay -- Harmonic analysis of equilibrium states for hyperbolic dynamical systems
by: Leclerc, Gaétan
Published: (2024)

Simple Proofs for the Derivative Estimates of the Holomorphic Motion near Two Boundary Points of the Mandelbrot Set
by: Chen, Yi-Chiuan, et al.
Published: (2018)

Non-invertible planar self-affine sets
by: Käenmäki, Antti, et al.
Published: (2022)

Shadowing property on hyperspace of continua induced by Morse gradient system
by: Katić, Jelena, et al.
Published: (2025)

Prime orbit theorems for expanding Thurston maps: Genericity of strong non-integrability condition
by: Li, Zhiqiang, et al.
Published: (2023)

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

Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds
by: Li, Zhiqiang, et al.
Published: (2023)

Linear Flows on Translation Prisms
by: Athreya, Jayadev S., et al.
Published: (2025)

On the Regularity of the Dimension of Cookie-Cutter-Like Sets
by: Kleptsyn, Victor, et al.
Published: (2025)

Conjugacies of Expanding Skew Products on $\mathbb{T}^n$
by: Hemenway, Gregory
Published: (2025)

On the variational principle for a class of skew product transformations
by: Liu, Nian, et al.
Published: (2024)

Infinite-dimensional Thurston theory and transcendental dynamics II: classification of entire functions with escaping singular orbits
by: Bogdanov, Konstantin
Published: (2021)

On the multiplier spectrum of polynomials
by: Zhang, Geng-Rui
Published: (2025)

Dimension estimates for nonlinear nonautonomous systems in arbitrary normed spaces
by: Stavroulakis, John Ioannis
Published: (2025)

Covering number on inhomogeneous graph-directed self-similar sets
by: Bárány, Balázs, et al.
Published: (2023)

On irreducibility of prefixed algebraic sets in moduli spaces of prime degree polynomials
by: Patra, Niladri
Published: (2023)

Phragmén-Lindelöf Principles and Julia Limiting Directions of Quasiregular Mappings
by: Fletcher, Alastair N., et al.
Published: (2023)

Topological-numerical analysis of global dynamics in the discrete-time two-gene Andrecut-Kauffman model
by: Falęcki, Dorian, et al.
Published: (2026)

A direct proof of the existence of MME for finite horizon Sinai billiards
by: Carrand, Jérôme
Published: (2024)

Finiteness of hyperbolic entropy for holomorphic foliations with non-degenerate singularities
by: Bacher, François
Published: (2023)

Parameter spaces of locally constant cocycles
by: Christodoulou, Argyrios
Published: (2020)

Ground states and periodic orbits for expanding Thurston maps
by: Li, Zhiqiang, et al.
Published: (2023)

Adapted Measures for Markov Interval Maps
by: Krzywoń, Łukasz
Published: (2025)

Moduli spaces of polynomial maps and multipliers at small cycles
by: Huguin, Valentin
Published: (2024)

On a family of singular potentials: Parameter dependence of thermodynamic characteristics
by: Gohlke, Philipp, et al.
Published: (2026)

Algebraic billiards in the Fermat hyperbola
by: Weinreich, Max
Published: (2024)

Finer geometry of planar self-affine sets
by: Bárány, Balázs, et al.
Published: (2021)

Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms
by: Carvalho, Bernardo, et al.
Published: (2023)

Pinched Arnol'd tongues for Families of circle maps
by: Boyland, Philip
Published: (2025)

Continuum-wise hyperbolic homeomorphisms on surfaces
by: Arruda, Rodrigo, et al.
Published: (2023)

Polynomial entropy of induced homeomorphisms on $C(\mathbb{S}^1)$
by: Đorić, Maša, et al.
Published: (2025)

Knotting Minimal Sets
by: Clark, Alex, et al.
Published: (2025)

Hausdorff dimension of the limit sets of Tree Iterated Function Systems
by: Ono, Hiromichi
Published: (2026)

Regularity of non-autonomous self-similar sets
by: Käenmäki, Antti, et al.
Published: (2024)

On the dimension theory of Okamoto's function
by: Bárány, Balázs, et al.
Published: (2025)

Hausdorff dimension of the set of eventually always hitting points on a self-conformal set
by: Zhang, Xintian
Published: (2023)

Tangents and slices of self-affine carpets
by: Käenmäki, Antti, et al.
Published: (2024)

Thermodynamic formalism for subsystems of expanding Thurston maps and large deviations asymptotics
by: Li, Zhiqiang, et al.
Published: (2023)

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

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