An extension of quantitative nondivergence and applications to Diophantine exponents
Dynamical Systems
2008-05-19 v3 Number Theory
Abstract
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 and their nondegenerate submanifolds.
Keywords
Cite
@article{arxiv.math/0508517,
title = {An extension of quantitative nondivergence and applications to Diophantine exponents},
author = {Dmitry Kleinbock},
journal= {arXiv preprint arXiv:math/0508517},
year = {2008}
}
Comments
26 pages, a revised version. Trans. AMS, to appear