Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 9, Issue 1


Published
on

November 29, 2013


Pages

79-98


DOI

Article

Quantitative Rearrangement Theorems for Sequences in Compact Spaces


Authors

Gerhard Larcher Affiliation:
Institute of Financial Mathematics, and Applied Number Theory, University Linz, Altenbergerstraße 69, A-4040-, Linz, Austria


Abstract

Every sequence which is dense in a compact metric space X can be rearranged, such that the new sequence is uniformly distributed in X with respect to a given non-negative Borel-measure on X. We give quantitative versions of this result, in the sense that we give estimates for the growth-rate of the permutations in question.


Keywords

Uniform distribution of sequences, rearrangement of sequences, discrepancy.


Citation

Larcher, G. (2014). Quantitative rearrangement theorems for sequences in compact spaces. Uniform Distribution Theory, 9(1), 79–98.

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