Uniform distribution of generalized Kakutani's sequences of partitions

DOI10.1007/s10231-011-0235-9zbMath1284.11104OpenAlexW2099801320MaRDI QIDQ361917

Markus Hofer, Christoph Aistleitner

Publication date: 20 August 2013

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-011-0235-9

zbMATH Keywords

partitionsuniform distributionquasi-Monte CarloKakutani splittingrationally related numbers

Mathematics Subject Classification ID

Convergence of probability measures (60B10) General theory of distribution modulo (1) (11K06) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items

Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings, Comparison Between LS-Sequences and $$\beta $$ β -Adic van der Corput Sequences, Uniform distribution of Kakutani partitions generated by substitution schemes, On the uniform distribution modulo 1 of multidimensional LS-sequences

Cites Work

• A generalization of Kakutani's splitting procedure
• A proof of Kakutani's conjecture on random subdivision of longest intervals
• Discrepancy of \(LS\)-sequences of partitions and points
• Splitting intervals
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