An inhomogeneous Dirichlet theorem via shrinking targets

DOI10.1112/S0010437X1900719XzbMath1429.11124arXiv1709.04082OpenAlexW3101221231MaRDI QIDQ4968761

Nick Wadleigh, Dmitry Kleinbock

Publication date: 9 July 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04082

zbMATH Keywords

inhomogeneous Diophantine approximationDirichlet's theoremexponential mixingshrinking targetsspace of grids

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Homogeneous flows (37A17) Inhomogeneous linear forms (11J20)

Related Items (14)

The generalised Hausdorff measure of sets of Dirichlet non-improvable numbers ⋮ Hausdorff measure of sets of Dirichlet non-improvable affine forms ⋮ Number theory meets wireless communications: an introduction for dummies like us ⋮ Khintchine-type theorems for values of subhomogeneous functions at integer points ⋮ On eventually always hitting points ⋮ A measure estimate in geometry of numbers and improvements to Dirichlet's theorem ⋮ Generalised Hausdorff measure of sets of Dirichlet non-improvable matrices in higher dimensions ⋮ Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set ⋮ Metric properties of the product of consecutive partial quotients in continued fractions ⋮ A zero-one law for improvements to Dirichlet’s Theorem ⋮ A dynamical dimension transference principle for dynamical Diophantine approximation ⋮ Shrinking targets and eventually always hitting points for interval maps ⋮ Shrinking target problems for flows on homogeneous spaces ⋮ HAUSDORFF DIMENSION FOR THE SET OF POINTS CONNECTED WITH THE GENERALIZED JARNÍK–BESICOVITCH SET

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