Sets with large intersection and ubiquity

DOI10.1017/S0305004107000746zbMath1239.11076MaRDI QIDQ5450707

Arnaud Durand

Publication date: 13 March 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Fractals (28A80) Simultaneous homogeneous approximation, linear forms (11J13) Homogeneous approximation to one number (11J04)

Related Items (19)

Multivariate multifractal formalism for simultaneous pointwise (Tuipi)i regularities ⋮ On the intersection of dynamical covering sets with fractals ⋮ Metric Diophantine approximation on the middle-third Cantor set ⋮ The set of badly approximable vectors is strongly C¹ incompressible ⋮ Approximation properties of -expansions II ⋮ A mass transference principle and sets with large intersections ⋮ Dimensions of random covering sets in Riemann manifolds ⋮ Large intersection property for limsup sets in metric space ⋮ Multifractal analysis of Lévy fields ⋮ Random Covering Sets, Hitting Probabilities and Variants of the Covering Problem ⋮ A family of functions with two different spectra of singularities ⋮ Mass transference principle from rectangles to rectangles in Diophantine approximation ⋮ Multifractal formalisms for multivariate analysis ⋮ Ubiquitous systems and metric number theory ⋮ Random wavelet series based on a tree-indexed Markov chain ⋮ Singularity sets of Lévy processes ⋮ Analysis of a fractal boundary: the graph of the Knopp function ⋮ LARGE INTERSECTION PROPERTIES FOR LIMSUP SETS GENERATED BY RECTANGLES IN COMPACT METRIC SPACES ⋮ Describability via ubiquity and eutaxy in Diophantine approximation

Cites Work

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• On the exact Hausdorff dimension of the set of Liouville numbers. II
• A general inhomogeneous Jarnik-Besicovitch theorem
• On simultaneous Diophantine approximations
• On lacunary wavelet series.
• Intersective sets and Diophantine approximation
• On the exact Hausdorff dimension of the set of Liouville numbers
• Random wavelet series
• Representations of real numbers as sums and products of Liouville numbers
• APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION
• Sets with Large Intersection Properties
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• Metrical Theorems on Fractional Parts of Sequences
• Diophantine Approximation and Hausdorff Dimension
• Über die Mahlersche Klasseneinteilung der transzendenten Zahlen und die Approximation komplexer Zahlen durch algebraische Zahlen

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