Cover Image

Measure and dimension theory of permeable sets and its applications to fractals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Leobacher, Gunther, Rajala, Tapio, Steinicke, Alexander, Thuswaldner, Jörg
Format:	Preprint
Published:	2024
Subjects:	General Topology Dynamical Systems Geometric Topology Metric Geometry 51M25, 28A75, 54F45, 28A80
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

On self-affine tiles that are homeomorphic to a ball
by: Thuswaldner, Jörg M., et al.
Published: (2021)

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

Lipschitz images and dimensions
by: Balka, Richárd, et al.
Published: (2023)

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

Farey Bryophylla
by: Karpenkov, Oleg, 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)

Assouad type dimensions of homogeneous Moran sets and Cantor-like sets
by: Li, Yanzhe, et al.
Published: (2024)

On Lipschitz partitions of unity and the Assouad--Nagata dimension
by: Licht, Martin W.
Published: (2023)

Hausdorff dimension and quasisymmetric minimality of homogeneous Moran sets
by: Li, Jun, et al.
Published: (2025)

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

Knots and Coxeter Groups
by: Burke, Dylan, et al.
Published: (2025)

Topological fractals revisited
by: Karasová, Klára, et al.
Published: (2022)

Signed null sequences and Hausdorff dimension
by: Balka, Richárd, et al.
Published: (2025)

A self-similar set with non-locally connected components
by: Xiao, Jian-Ci
Published: (2024)

The connectedness of Sierpiński sponges with rotational and reflectional components and associated graph-directed systems
by: Ruan, Huo-Jun, et al.
Published: (2022)

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)

Self-similar sets and Lipschitz graphs
by: Davey, Blair, et al.
Published: (2024)

Invariant idempotent $\ast$-measures for generalized iterated function systems
by: Mazurenko, Natalia, et al.
Published: (2026)

A Survey on the Topology of Fractal Squares
by: Luo, Jun, et al.
Published: (2025)

On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane
by: Orponen, Tuomas, et al.
Published: (2021)

Frostman and Fourier characterisations of fractal dimensions
by: Falconer, Kenneth J., et al.
Published: (2025)

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

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

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

Geometric embeddings of spaces of persistence diagrams with explicit distortions
by: Mitra, Atish, et al.
Published: (2024)

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

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

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

Projections, Furstenberg sets, and the $ABC$ sum-product problem
by: Orponen, Tuomas, et al.
Published: (2023)

Dimensions of Furstenberg sets and an extension of Bourgain's projection theorem
by: Shmerkin, Pablo, et al.
Published: (2022)

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

Analytic capacity and dimension of sets with plenty of big projections
by: Dąbrowski, Damian, et al.
Published: (2022)

On completeness of Hausdorff hyperspaces
by: Komara, Ján
Published: (2025)

Representing fine shape of local compacta by homotopy classes of ordinary maps
by: Zemlyanoy, Vladislav
Published: (2025)

Asymptotic order of the quantization error for a class of self-similar measures with overlaps
by: Zhu, Sanguo
Published: (2024)

The Hausdorff dimension of sets containing circles in many directions
by: Córdoba, Antonio
Published: (2026)

Weakly porous sets and $A_1$ Muckenhoupt weights in spaces of homogeneous type
by: Aimar, Hugo, et al.
Published: (2024)

One-sided Muckenhoupt weights and one-sided weakly porous sets in $\mathbb{R}$
by: Aimar, Hugo, et al.
Published: (2024)

Projection Theorems for $Φ$-Intermediate Dimensions
by: Daw, Lara, et al.
Published: (2026)