Badly approximable systems of affine forms

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dc.creatorKleinbock, Dmitry
dc.date1998-08-12
dc.date1999-01-20
dc.date.accessioned2026-07-07T05:25:42Z
dc.date.available2026-07-07T05:25:42Z
dc.descriptionWe prove an inhomogeneous analogue of W. M. Schmidt's (1969) theorem on 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.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/9808057
dc.identifierhttp://arxiv.org/abs/math/9808057
dc.identifierJ. of Number Theory 79 (1999), 83--102.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77279
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11J20; 11J83, 57S25
dc.titleBadly approximable systems of affine forms
dc.typetext

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