A general mass transference principle

DOI10.1007/s00029-019-0484-9zbMath1450.11079arXiv1803.02654OpenAlexW2964018197WikidataQ127722689 ScholiaQ127722689MaRDI QIDQ2421281

Simon Baker, Demi Allen

Publication date: 14 June 2019

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02654

zbMATH Keywords

Diophantine approximationHausdorff measuresmass transference principle\(\limsup \) sets

Mathematics Subject Classification ID

Metric theory (11J83) Hausdorff and packing measures (28A78) Diophantine approximation in probabilistic number theory (11K60)

Related Items (10)

A mass transference principle and sets with large intersections ⋮ Metrical theorems for unconventional height functions ⋮ Simultaneous p-adic Diophantine approximation ⋮ Measure theoretic laws for limsup sets defined by rectangles ⋮ A note on weighted simultaneous Diophantine approximation on manifolds ⋮ Mass transference principle from rectangles to rectangles in Diophantine approximation ⋮ Mass transference principle: from balls to arbitrary shapes: measure theory ⋮ A general principle for Hausdorff measure ⋮ The Mass Transference Principle: Ten years on ⋮ The divergence Borel-Cantelli Lemma revisited

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