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Badly Approximable Systems of Affine Forms

✍ Scribed by Dmitry Kleinbock

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 190 KB
Volume: 79
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1999.2419

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✦ Synopsis

We prove an inhomogeneous analogue of W. M. Schmidt's theorem on the Hausdorff dimension of the set of badly approximable systems of linear forms. The proof is based on ideas and methods from the theory of dynamical systems, in particular, on abundance of bounded orbits of mixing flows on homogeneous spaces of Lie groups

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