A Zero-One Law for Uniform Diophantine Approximation in Euclidean Norm

DOI10.1093/imrn/rnaa256zbMath1503.11099arXiv1910.00126OpenAlexW3206219383WikidataQ114092337 ScholiaQ114092337MaRDI QIDQ5075172

Anurag Rao, Dmitry Kleinbock

Publication date: 10 May 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00126

zbMATH Keywords

geodesic flowsDirichlet's theoremshrinking target problemDirichlet-improvable numbersdynamical zero-one law

Mathematics Subject Classification ID

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

Related Items (5)

Abundance of Dirichlet-improvable pairs with respect to arbitrary norms ⋮ On the dimension drop conjecture for diagonal flows on the space of lattices ⋮ A note on Dirichlet spectrum ⋮ A measure estimate in geometry of numbers and improvements to Dirichlet's theorem ⋮ A dichotomy phenomenon for bad minus normed Dirichlet

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