Cover Image

Frostman and Fourier characterisations of fractal dimensions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Falconer, Kenneth J., Zhang, Shuqin
Format:	Preprint
Published:	2025
Subjects:	Metric Geometry 28A80
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Seventy Years of Fractal Projections
by: Falconer, Kenneth J.
Published: (2026)

Fractal percolation on statistically self-affine carpets
by: Falconer, Kenneth, et al.
Published: (2024)

The fractal structure of elliptical polynomial spirals
by: Burrell, Stuart A., et al.
Published: (2020)

On the intersection of fractal cubes
by: Tetenov, Andrei, et al.
Published: (2024)

Box dimension of fractal interpolation surfaces with vertical scaling function
by: Jiang, Lai
Published: (2023)

Minkowski dimension for measures
by: Falconer, Kenneth J., et al.
Published: (2020)

On metric properties of self-affine polygonal dendrites
by: Tetenov, Andrei, et al.
Published: (2026)

A generalization of Marstrand's theorem and some geometric applications
by: Moreira, Carlos Gustavo, et al.
Published: (2016)

Pair correlations of one-dimensional model sets and monstrous covariograms of Rauzy fractals
by: Baake, Michael, et al.
Published: (2025)

Packing dimension of vertical projections in the Heisenberg group
by: Harris, Terence L. J.
Published: (2024)

Box dimension of fractal functions on attractors
by: Pasupathi, R.
Published: (2024)

On the Hausdorff dimension of circular Furstenberg sets
by: Fässler, Katrin, et al.
Published: (2023)

Self-similar dendrites with finite boundary and P-sprouts
by: Tetenov, Andrei, et al.
Published: (2026)

The Wild, Elusive Singularities of the T-fractal Surface
by: Johnson, Chris, et al.
Published: (2017)

Hölder continuity and dimensions of fractal Fourier series
by: Garitsis, Efstathios Konstantinos Chrontsios, et al.
Published: (2022)

New improvement to Falconer distance set problem in higher dimensions
by: Du, Xiumin, et al.
Published: (2023)

On the packing dimension of Furstenberg sets
by: Shmerkin, Pablo
Published: (2020)

On Fourier transforms of fractal measures on the parabola
by: Orponen, Tuomas, et al.
Published: (2024)

When the conformal dimension of a self-affine sponge of Lalley-Gatzouras type is zero
by: Zhang, Yanfang, et al.
Published: (2025)

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

The Shape of Symmetric Binary Trees
by: Riddle, Larry
Published: (2025)

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

Brascamp--Lieb inequalities for fractal dimensions
by: Fraser, Jonathan M.
Published: (2026)

A gasket construction of the Koch snowflake and variations
by: Sargent, Robert C.
Published: (2025)

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

Hausdorff dimension of Graphs of Limit Functions Generated by Quasi-Linear Functions
by: Wu, Wen, et al.
Published: (2025)

Support measures in fractal geometry
by: Radunović, Goran, et al.
Published: (2025)

An extension of fractal Euler number via persistent homology
by: Nishijima, Kosuke
Published: (2026)

Generalised lower Assouad-type dimensions and their interpolations
by: Chen, Haipeng, et al.
Published: (2026)

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

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

Asymptotic order of the quantization errors for self-affine measures on Bedford-McMullen carpets
by: Zhu, Sanguo
Published: (2016)

On the distance sets spanned by sets of dimension $d/2$ in $\mathbb{R}^d$
by: Shmerkin, Pablo, et al.
Published: (2021)

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

A study guide for "On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane" after T. Orponen and P. Shmerkin
by: Fiedler, Jacob B., et al.
Published: (2024)

Quasisymmetric mappings on two variants of fractal percolation
by: Anttila, Roope, et al.
Published: (2025)

Convergence order of the quantization error for self-affine measures on Lalley-Gatzouras carpets
by: Zhu, Sanguo
Published: (2025)

On volume and surface area of parallel sets. II. Surface measures and (non-)differentiability of the volume
by: Rataj, Jan, et al.
Published: (2023)

Exceptional sets for length under restricted families of projections onto lines in $\mathbb{R}^3$
by: Harris, Terence L. J.
Published: (2024)

Measure and dimension theory of permeable sets and its applications to fractals
by: Leobacher, Gunther, et al.
Published: (2024)