Cover Image

Achievement sets -- current results and open problems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Głąb, Szymon, Prus-Wiśniowski, Franciszek
Format:	Preprint
Published:	2025
Subjects:	Classical Analysis and ODEs 40A05, 11B05, 28A75
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Achievable Cantorvals almost without reversed Kakeya conditions
by: Prus-Wiśniowski, Franciszek, et al.
Published: (2024)

The Lebesgue measure of boundaries of multigeometric Cantorvals
by: Nowakowski, Piotr, et al.
Published: (2025)

The achievement set of generalized multigeometric sequences
by: Karvatskyi, Dmytro, et al.
Published: (2023)

Convergence of sub-series' and sub-signed series' in terms of the asymptotic $ψ$-density
by: Heittokangas, Janne, et al.
Published: (2024)

On the number of 3APs in fractal sets
by: Carnovale, Marc, et al.
Published: (2026)

Characterization of the algebraic difference of special affine Cantor sets
by: Nowakowski, Piotr
Published: (2023)

Extremal graph theory and point configurations in Ahlfors-David regular sets
by: McDonald, Alex
Published: (2026)

Large sets containing no copies of a given infinite sequence
by: Kolountzakis, Mihail N., et al.
Published: (2022)

On the modulus of continuity of functions whose image has positive measure, and metric embeddings into $\mathbb{R}^d$ without shrinking
by: Altaf, Iqra, et al.
Published: (2025)

On an Erdős similarity problem in the large
by: Gao, Xiang, et al.
Published: (2023)

Translating measurable sets
by: Laczkovich, M.
Published: (2026)

Universal projection theorems with applications to multifractal analysis and the dimension of every ergodic measure on self-conformal sets simultaneously
by: Bárány, Balázs, et al.
Published: (2024)

The algebraic difference of a Cantor set and its complement
by: Nowakowski, Piotr, et al.
Published: (2025)

Borel complexity of sets of ideal limit points
by: Filipow, Rafal, et al.
Published: (2024)

Recurrence relations and applications for the Maclaurin coefficients of squared and cubic hypergeometric functions
by: Mao, Zhong-Xuan, et al.
Published: (2026)

Dominated sets, microscopic sets and Hausdorff measures
by: Zindulka, Ondřej, et al.
Published: (2026)

Sharp Favard length of random Cantor sets
by: Chang, Alan, et al.
Published: (2025)

Packing sets in Euclidean space by affine transformations
by: Iosevich, Alex, et al.
Published: (2024)

Intermediate dimensions of complementary sets
by: Angelini, Nicolas, et al.
Published: (2024)

Interior of distance trees over thin Cantor sets
by: Jung, Yeonwook, et al.
Published: (2025)

Riesz spaces of signed charges on semi-rings
by: Cambronero, Santiago, et al.
Published: (2023)

Nikodym sets and maximal functions associated with spheres
by: Chang, Alan, et al.
Published: (2022)

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

Graph-null sets
by: Laczkovich, M., et al.
Published: (2026)

$L^p$ averages of the discrete Fourier transform and applications
by: Fraser, Jonathan M., et al.
Published: (2025)

Obtaining the Fourier spectrum via Fourier coefficients
by: Carnovale, Marc, et al.
Published: (2024)

Rational points in Cantor sets and spectral eigenvalue problem for self-similar spectral measures
by: Kong, Derong, et al.
Published: (2025)

On Falconer type functions and the distance set problem
by: Pham, Minh-Quy
Published: (2025)

Minimizing measures for the doubling condition
by: de la Cigoña, Fernando Benito F., et al.
Published: (2025)

On rectifiability of Delone sets in intermediate regularity
by: Inoquio-Renteria, Irene, et al.
Published: (2024)

Simple proofs of discretised projection theorems
by: O'Regan, William, et al.
Published: (2025)

Exponential Taylor Series
by: Kowacs, André
Published: (2022)

On the Eigen-Falconer theorem in $\mathbb{R}^d$
by: Li, Wenxia, et al.
Published: (2025)

Anisotropic Minkowski Content for Countably $\mathcal{H}^k$-rectifiable Sets
by: Fryš, Filip
Published: (2026)

Sum-product phenomena for Ahlfors-regular sets
by: O'Regan, William
Published: (2025)

On the dimension of k-medial axis for arbitrary closed set
by: Liang, Xiangyu
Published: (2024)

Progress in Projection Theory and other dimensional developments
by: Bright, Paige
Published: (2025)

Transversal families of nonlinear projections and generalizations of Favard length
by: Bongers, Rosemarie, et al.
Published: (2021)

Structure of sets with nearly maximal Favard length
by: Chang, Alan, et al.
Published: (2022)

Quantitative Besicovitch projection theorem for irregular sets of directions
by: Dąbrowski, Damian
Published: (2022)