A shrinking target problem with target at infinity in rank one homogeneous spaces

DOI10.1007/s00605-019-01309-2zbMath1423.37007arXiv1610.01870OpenAlexW2896257034WikidataQ114228836 ScholiaQ114228836MaRDI QIDQ2003538

Cheng Zheng

Publication date: 9 July 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01870

zbMATH Keywords

Diophantine approximationHeisenberg groupsexcursion rates of orbitsJarník-Besicovitch theoremshrinking target problem

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Harmonic analysis on homogeneous spaces (43A85) Metric theory (11J83) Homogeneous approximation to one number (11J04) Homogeneous flows (37A17)

Related Items (3)

Diophantine approximation, large intersections and geodesics in negative curvature ⋮ On the density of some sparse horocycles ⋮ Hausdorff dimension of limsup sets of rectangles in the Heisenberg group

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