A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation
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DOI: 10.1016/j.crma.2017.07.007
Abstract: Abstract We establish a new connection between metric Diophantine approximation and the parametric geometry of numbers by proving a variational principle facilitating the computation of the Hausdorff and packing dimensions of many sets of interest… read more here.
Keywords: diophantine approximation; parametric geometry; metric diophantine; geometry ... See more keywords