A generalization of Kakutani’s splitting procedure

Aljoša Volčič

Type: Article

Publication Date: 2010-03-18

Citations: 34

DOI: https://doi.org/10.1007/s10231-010-0136-3

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Locations

Annali di Matematica Pura ed Applicata (1923 -) - View - PDF
arXiv (Cornell University) - View - PDF

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+	Low-discrepancy sequences: theory and applications	2014	Maria Rita Iacò
+ PDF Chat	Uniform distribution of Kakutani partitions generated by substitution schemes	2020	Yotam Smilansky
+	Discrepancy of LS-sequences of partitions	2010	Ingrid Carbone
+ PDF Chat	Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings	2022	Yotam Smilansky
+ PDF Chat	Uniform distribution of generalized Kakutani’s sequences of partitions	2011	Christoph Aistleitner Markus Hofer
+	Some negative results related to Poissonian pair correlation problems	2019	Gerhard Larcher Wolfgang Stockinger
+ PDF Chat	On the uniform distribution modulo 1 of multidimensional LS-sequences	2013	Christoph Aistleitner Markus Hofer Volker Ziegler
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Works Cited by This (22)

Action	Title	Year	Authors
+ PDF Chat	Irregularities of distribution, VII	1972	Wolfgang Schmidt
+	A problem of equidistribution on the unit interval [0, 1]	1976	Shizuo Kakutani
+	Kakutani's Splitting Procedure in Higher Dimension	2007	Ingrid Carbone Aljoša Volčič
+	Discrepancy of LS-sequences of partitions	2010	Ingrid Carbone
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter
+	A von Neumann theorem for uniformly distributed sequences of partitions	2011	Ingrid Carbone Aljoša Volčič
+	Pseudo-random trees: Multiple independent sequence generators for parallel and branching computations	1989	John H. Halton
+ PDF Chat	Uniform distribution of Kakutani's interval splitting procedure	1977	R. L. Adlerb Leopold Flatto
+ PDF Chat	Entropy and maximal spacings for random partitions	1978	Eric Slud
+ PDF Chat	Correction to “entropy and maximal spacings for random partitions”	1982	Eric Slud