14 citations · 53 across the 22 of their papers we have counts for
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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…
math.NT2003
Badly approximable systems of linear forms over a field of formal series
Simon Kristensen
We prove that the Hausdorff dimension of the set of badly approximable systems of m linear forms in n variables over the field of Laurent series with coefficients from a finite fie…