Proof of the exact overlaps conjecture for systems with algebraic contractions

DOI10.24033/asens.2518OpenAlexW2997523743WikidataQ123279501 ScholiaQ123279501MaRDI QIDQ5056674

Ariel Rapaport

Publication date: 8 December 2022

Published in: Annales scientifiques de l'École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01332

zbMATH Keywords

self-similar measuresdimension of measuresexact overlaps

Mathematics Subject Classification ID

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

Related Items (3)

Intrinsic Diophantine approximation for overlapping iterated function systems ⋮ Iterated function systems with super-exponentially close cylinders II ⋮ Analogues of Khintchine’s theorem for random attractors

Cites Work

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• On self-similar sets with overlaps and inverse theorems for entropy
• Hausdorff dimension for randomly perturbed self affine attractors
• The Hausdorff dimension of some fractals and attractors of overlapping construction
• Relationships between different dimensions of a measure
• On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions
• Iterated function systems with super-exponentially close cylinders
• Super-exponential condensation without exact overlaps
• On the dimension of Bernoulli convolutions for all transcendental parameters
• Auxiliary Polynomials in Number Theory
• Fractals in Probability and Analysis
• Exact dimensionality and projections of random self-similar measures and sets
• Dimension theory of iterated function systems

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