Distribution of \(\delta \)-connected components of self-affine sponges of Lalley-Gatzouras type

DOI10.1016/j.jmaa.2023.127609arXiv2302.12934OpenAlexW4385076258MaRDI QIDQ6050979

Yongqiang Yang, Yanfang Zhang

Publication date: 19 September 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.12934

zbMATH Keywords

maximal power lawcomponent-counting measureself-affine sponge

Mathematics Subject Classification ID

Smooth dynamical systems: general theory (37Cxx) Classical measure theory (28Axx) Dynamical systems with hyperbolic behavior (37Dxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Hausdorff dimension of the limit sets of some planar geometric constructions
• Self-conformal multifractal measures
• The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result
• Gap sequences of fractal squares
• A class of self-affine sets and self-affine measures
• The singularity spectrum for general Sierpiński carpets
• Lipschitz classification of Bedford-McMullen carpets with uniform horizontal fibers
• Dimension drop of connected part of slicing self-affine sponges
• Gap sequences of self-conformal sets
• Relations between topological and metrical properties of self-affine Sierpiński sponges
• Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets
• Assouad dimension of self-affine carpets
• Gap sequences of McMullen sets
• Multifractal analysis for Bedford–McMullen carpets
• Multifractal analysis for Birkhoff averages on Lalley–Gatzouras repellers
• The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums
• SYMBOLIC AND GEOMETRIC LOCAL DIMENSIONS OF SELF-AFFINE MULTIFRACTAL SIERPINSKI SPONGES IN ℝ^d
• Gap sequence, Lipschitz equivalence and box dimension of fractal sets
• On the Minkowski Measurability of Fractals
• Measures of full dimension on affine-invariant sets
• Gap sequences and Topological properties of Bedford–McMullen sets*
• LIPSCHITZ EQUIVALENCE OF MCMULLEN SETS
• Gibbs measures on self-affine Sierpiński carpets and their singularity spectrum
• On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure
• A DICHOTOMY OF STRONG OPEN SET CONDITION OF SELF-CONFORMAL SETS