Cover Image

Dimensions of orbital sets in complex dynamics

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fraser, Jonathan M, Xu, Yunlong
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems Metric Geometry primary: 37F10, 28A80 secondary: 30C15, 28A78
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Dimensions of Kleinian orbital sets
by: Bartlett, Thomas, et al.
Published: (2021)

Badly approximable points on non-linear carpets
by: Anttila, Roope, et al.
Published: (2026)

An invitation to dimension interpolation
by: Fraser, Jonathan M.
Published: (2026)

Applications of dimension interpolation to orthogonal projections
by: Fraser, Jonathan M.
Published: (2025)

Fourier decay of product measures
by: Fraser, Jonathan M.
Published: (2024)

The Fourier spectrum and sumset type problems
by: Fraser, Jonathan M.
Published: (2022)

A Fourier analytic approach to exceptional set estimates for orthogonal projections
by: Fraser, Jonathan M., et al.
Published: (2024)

Assouad type dimensions of parabolic Julia sets
by: Fraser, Jonathan M., et al.
Published: (2022)

$L^2$ restriction estimates from the Fourier spectrum
by: Carnovale, Marc, et al.
Published: (2024)

Projections of self-affine fractals
by: Morris, Ian, et al.
Published: (2025)

Multiple convolutions and multilinear fractal Fourier extension estimates
by: Oliveira, Itamar, et al.
Published: (2026)

Dimensions of harmonic measures on non-autonomous Cantor sets
by: Batakis, Athanasios, et al.
Published: (2024)

A nonlinear projection theorem for Assouad dimension and applications
by: Fraser, Jonathan M.
Published: (2020)

Tangents of invariant sets
by: Käenmäki, Antti, et al.
Published: (2023)

Favard length and quantitative rectifiability
by: Dąbrowski, Damian
Published: (2024)

A new perspective on the Sullivan dictionary via Assouad type dimensions and spectra
by: Fraser, Jonathan M., et al.
Published: (2020)

High-low method and $p$-adic Furstenberg set over the plane
by: Ren, Kevin, et al.
Published: (2025)

Inhomogeneous attractors and box dimension
by: Fraser, Jonathan M.
Published: (2024)

The Assouad spectrum of Kleinian limit sets and Patterson-Sullivan measure
by: Fraser, Jonathan M., et al.
Published: (2022)

Visible parts and slices of Ahlfors regular sets
by: Dąbrowski, Damian
Published: (2023)

Fourier restriction for the additive Brownian sheet
by: Fraser, Jonathan M., et al.
Published: (2026)

Assouad-type Dimensions of Overlapping Self-affine Sets
by: Fraser, Jonathan M., et al.
Published: (2022)

Projection Theorems for $Φ$-Intermediate Dimensions
by: Daw, Lara, et al.
Published: (2026)

On the uniformity and size of microsets
by: Balka, Richárd, et al.
Published: (2024)

On variants of the Furstenberg set problem
by: Fraser, Jonathan M.
Published: (2024)

Interpolating between Hausdorff and box dimension
by: Banaji, Amlan
Published: (2024)

Intermediate dimensions of Bedford-McMullen carpets with applications to Lipschitz equivalence
by: Banaji, Amlan, et al.
Published: (2021)

New results on embeddings of self-similar sets via renormalization
by: Algom, Amir, et al.
Published: (2024)

Topological, metric and fractal properties of one family of self-similar sets
by: Karvatskyi, Dmytro
Published: (2026)

On the Density Problem in Heisenberg Rectifiability
by: Idu, Kennedy Obinna
Published: (2025)

Mean dimension theory for infinite dimensional Bedford-McMullen sponges
by: Huo, Qiang
Published: (2024)

Attainable forms of intermediate dimensions
by: Banaji, Amlan, et al.
Published: (2021)

New Hausdorff type dimensions and optimal bounds for bilipschitz invariant dimensions
by: Balka, Richárd, et al.
Published: (2023)

Marstrand's density theorem for arbitrary norms in the plane
by: Del Nin, Giacomo, et al.
Published: (2025)

$C^{1,α}$-rectifiability in low codimension in Heisenberg groups
by: Idu, Kennedy Obinna, et al.
Published: (2021)

From Lipschitz embedding to Lipschitz equivalence between dust-like self-similar sets
by: Ruan, Huo-Jun, et al.
Published: (2025)

Power Laws for the Favard Length Problem in $\mathbb{R}^d$
by: Marshall, Caleb
Published: (2025)

Collinear Fractals and Bandt's Conjecture
by: Espigule, Bernat, et al.
Published: (2024)

On the Hausdorff dimension and Cantor set structure of sliding Shilnikov invariant sets
by: Cunha, Matheus G. C., et al.
Published: (2023)

Rauzy fractals of random substitutions
by: Gohlke, Philipp, et al.
Published: (2024)