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math.NT1998
Flows on homogeneous spaces and Diophantine approximation on manifolds
Dmitry Kleinbock, Gregory Margulis
We present a new approach to metric Diophantine approximation on manifolds based on the correspondence between approximation properties of numbers and orbit properties of certain f…
math.NT1998
Badly approximable systems of affine forms
Dmitry Kleinbock
We 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 an…