The metrical theory of simultaneously small linear forms

DOI10.7169/facm/2013.48.2.1zbMath1311.11075arXiv0910.3428OpenAlexW2964347148MaRDI QIDQ351235

Mumtaz Hussain, Jason Levesley

Publication date: 11 July 2013

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3428

zbMATH Keywords

Diophantine approximationHausdorff measureKhintchine type theoremssystem linear forms

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Related Items (9)

A mass transference principle for systems of linear forms and its applications ⋮ A problem in non-linear Diophantine approximation ⋮ Characterizing the performance of wireless communication architectures via basic Diophantine approximation bounds ⋮ Doubly metric theory and simultaneous shrinking target problem in Cantor series expansion ⋮ Metrical theorems on systems of affine forms ⋮ A converse to linear independence criteria, valid almost everywhere ⋮ Metrical Theory for Small Linear Forms and Applications to Interference Alignment ⋮ A DICHOTOMY LAW FOR THE DIOPHANTINE PROPERTIES IN ‐DYNAMICAL SYSTEMS ⋮ A note on the weighted Khintchine-Groshev theorem

Cites Work

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• On simultaneous Diophantine approximations
• Ubiquity and a general logarithm law for geodesics
• A NOTE ON BADLY APPROXIMABLE LINEAR FORMS
• Measure theoretic laws for lim sup sets
• A Groshev Theorem for Small Linear Forms
• Schmidt's theorem, Hausdorff measures, and slicing
• The Hausdorff dimension of systems of simultaneously small linear forms
• PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA
• Badly approximable systems of linear forms in absolute value

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