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math.NT2003
Zero-infinity laws in Diophantine approximation
Y. Bugeaud, M. M. Dodson, S. Kristensen
It is shown that for any translation invariant outer measure M, the M-measure of the intersection of any subset of R^n that is invariant under rational translations and which does…
math.NT2003
Hausdorff Dimension and Diophantine Approximation
M. Maurice Dodson, Simon Kristensen
We begin with a brief treatment of Hausdorff measure and Hausdorff dimension. We then explain some of the principal results in Diophantine approximation and the Hausdorff dimension…