Geometric and probabilistic ideas in metric Diophantine approximation
Geometric and probabilistic ideas in metric Diophantine approximation
复制标题
度量丢番图近似中的几何和概率思想
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
M. Dodson
中科院分区：
文献类型：
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作者：
M. Dodson
内容1.导言2. Khinchin-Groshev定理共振集一种概率解释Khinchin-Groshev定理m ≥ 2的证明测度的不变性和独立性环面几何收敛性和测度0两两几何独立向量的集合完成Khinchin-Groshev定理的证明3. Hausdorff维数Khinchin-Groshev定理的Hausdorff维数版本dim W（n）的上界dim W（n）的下界Ubiquity参考文献
CONTENTS1. Introduction2. The Khinchin-Groshev theoremResonant setsA probabilistic interpretationThe proof of the Khinchin-Groshev theorem for m ≥ 2Invariance and independence of measureTorus geometryConvergence and measure 0Sets of pairwise geometrically independent vectorsCompleting the proof of the Khinchin-Groshev theorem3. Hausdorff dimensionA Hausdorff dimension version of the Khinchin-Groshev theoremThe upper bound for dim W(ψ)The lower bound for dim W(ψ)UbiquityReferences