Dynamically defined subsets of generic self-affine sets*

DOI10.1088/1361-6544/ac8219OpenAlexW3199843934MaRDI QIDQ5037899

Sascha Troscheit, Balázs Bárány

Publication date: 29 September 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.06727

zbMATH Keywords

Hausdorff dimensionrecurrenceself-affine setsshrinking targets

Mathematics Subject Classification ID

Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (2)

Hausdorff dimensions of recurrent and shrinking target sets under Lipschitz functions for expanding Markov maps ⋮ Quantitative recurrence and the shrinking target problem for overlapping iterated function systems

Cites Work

• Unnamed Item
• Quantitative recurrence properties for beta-dynamical system
• Lyapunov exponents for products of matrices and multifractal analysis. II: General matrices
• Hausdorff dimension for randomly perturbed self affine attractors
• The ergodic theory of shrinking targets
• Zariski closure and the dimension of the Gaussian law of the product of random matrices. I
• Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles
• Quantitative recurrence properties in conformal iterated function systems
• Inhomogeneous Diophantine approximation with general error functions
• A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation
• On shrinking targets for piecewise expanding interval maps
• Uniform recurrence properties for beta-transformation
• The Hausdorff dimension of self-affine fractals
• Measure and dimension for some fractal families
• A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION
• Shrinking targets on Bedford-McMullen carpets
• HAUSDORFF DIMENSION OF THE SET APPROXIMATED BY IRRATIONAL ROTATIONS
• Structure of equilibrium states on self-affine sets and strict monotonicity of affinity dimension
• A zero–infinity law for well-approximable points in Julia sets
• Diophantine approximation by orbits of expanding Markov maps
• Quantitative recurrence properties for self-conformal sets
• Recurrence to Shrinking Targets on Typical Self-Affine Fractals
• The shrinking target problem in the dynamical system of continued fractions
• A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION WITH A GENERAL ERROR FUNCTION
• ON THE HAUSDORFF MEASURE OF SHRINKING TARGET SETS ON SELF‐CONFORMAL SETS

This page was built for publication: Dynamically defined subsets of generic self-affine sets*