Mathematics – Dynamical Systems
Scientific paper
2005-08-25
Mathematics
Dynamical Systems
26 pages, a revised version. Trans. AMS, to appear
Scientific paper
We present a sharpening of nondivergence estimates for unipotent (or more
generally polynomial-like) flows on homogeneous spaces. Applied to metric
Diophantine approximation, it yields precise formulas for Diophantine exponents
of affine subspaces of $\Bbb R^n$ and their nondegenerate submanifolds.
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