Intersective sets and Diophantine approximation
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Publication:1766490
DOI10.1307/mmj/1100623419zbMath1196.11103OpenAlexW1971744307MaRDI QIDQ1766490
Publication date: 7 March 2005
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1307/mmj/1100623419
Length, area, volume, other geometric measure theory (28A75) Metric theory (11J83) Homogeneous approximation to one number (11J04)
Related Items (12)
An inhomogeneous Jarník theorem ⋮ Metric Diophantine approximation on the middle-third Cantor set ⋮ A mass transference principle and sets with large intersections ⋮ Dimensions of random covering sets in Riemann manifolds ⋮ Sets with large intersection properties in metric spaces ⋮ Large intersection property for limsup sets in metric space ⋮ Subfields of R with arbitrary Hausdorff dimension ⋮ Ubiquity and large intersections properties under digit frequencies constraints ⋮ Sets with large intersection and ubiquity ⋮ A Frostman-Type Lemma for Sets with Large Intersections, and an Application to Diophantine Approximation ⋮ LARGE INTERSECTION PROPERTIES FOR LIMSUP SETS GENERATED BY RECTANGLES IN COMPACT METRIC SPACES ⋮ Describability via ubiquity and eutaxy in Diophantine approximation
Cites Work
- Approximation par des nombres algébriques de degré borné et dimension de Hausdorff. (Approximation by algebraic numbers of bounded degree and the Hausdorff dimension)
- An inhomogeneous Jarník theorem
- APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION
- Measure theoretic laws for lim sup sets
- Classes of sets with large intersection
- Regular and ubiquitous systems, and ‐dense sequences
- Diophantine approximation and a lower bound for Hausdorff dimension
- Sets with Large Intersection Properties
- Zur Approximation der Exponentialfunktion und des Logarithmus. Teil II.
- On approximation of real numbers by real algebraic numbers
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- Über die Mahlersche Klasseneinteilung der transzendenten Zahlen und die Approximation komplexer Zahlen durch algebraische Zahlen
- Sets of exact `logarithmic' order in the theory of Diophantine approximation
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