An extension of quantitative nondivergence and applications to Diophantine exponents

By Dmitry Kleinbock. 2005

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We present a sharpening of nondivergence estimates for unipotent (or more gener- ally polynomial-like) flows on homogeneous spaces. Applied to metric Diophantine approxima- tion, it yields precise formulas for Diophantine exponents of affine subspaces ofR n and their nondegenerate submanifolds.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5a7501638acefd8f7108562777fba53491d99675