Hausdorff distance of univoque sets
Copyright policy )Hausdorff distance of univoque sets
Expansions in non-integer bases have been investigated abundantly since their introduction by R��nyi. It was discovered by Erd��s et al. that the sets of numbers with a unique expansion have a much more complex structure than in the integer base case. The present paper is devoted to the continuity properties of these maps with respect to the Hausdorff metric.
Mathematics - Number Theory, FOS: Mathematics, Metric theory of other algorithms and expansions; measure and Hausdorff dimension, Number Theory (math.NT), unique \(\beta\)-expansion, Special maps on metric spaces, non-integer base expansions, Radix representation; digital problems, Hausdorff metric
Mathematics - Number Theory, FOS: Mathematics, Metric theory of other algorithms and expansions; measure and Hausdorff dimension, Number Theory (math.NT), unique \(\beta\)-expansion, Special maps on metric spaces, non-integer base expansions, Radix representation; digital problems, Hausdorff metric
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