Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids

DOI10.1017/etds.2021.94OpenAlexW3198529413WikidataQ114118659 ScholiaQ114118659MaRDI QIDQ5053866

No author found.

Publication date: 28 November 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08926

zbMATH Keywords

Lyapunov exponentsHausdorff measurepacking measuresolenoidsstable/unstable foliation

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Hausdorff and packing measures (28A78)

Related Items (2)

A dichotomy for the dimension of SRB measure ⋮ Dimension of a class of intrinsically transversal solenoidal attractors in high dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hölder foliations
• Packing dimension estimation for exceptional parameters
• Dimension and product structure of hyperbolic measures
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics
• Measures of maximal dimension for linear horseshoes
• The Hausdorff dimension of self-affine fractals
• Hausdorff and packing measure for solenoids
• Hausdorff and packing measure for thick solenoids
• The Hausdorff dimension of certain solenoids
• On movable compacta
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

This page was built for publication: Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids