A dynamical Borel-Cantelli lemma via improvements to Dirichlet's theorem

DOI10.2140/moscow.2020.9.101zbMath1447.11078arXiv1909.08253OpenAlexW3104582640MaRDI QIDQ2188747

Shucheng Yu, Dmitry Kleinbock

Publication date: 11 June 2020

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08253

zbMATH Keywords

Siegel transformdynamical Borel-Cantelli lemma

Mathematics Subject Classification ID

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Homogeneous approximation to one number (11J04) Homogeneous flows (37A17) Mean value and transfer theorems (11H60)

Related Items (2)

A measure estimate in geometry of numbers and improvements to Dirichlet's theorem ⋮ Critical loci of convex domains in the plane

Cites Work

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• Logarithm laws and shrinking target properties
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• Dynamical Borel-Cantelli lemma for hyperbolic spaces
• A mean value theorem in geometry of numbers
• Mean values over the space of lattices
• A Metrical Theorem In Geometry of Numbers
• The Second Moment of the Siegel Transform in the Space of Symplectic Lattices
• Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
• Dynamical Borel-Cantelli lemmas for Gibbs measures

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