A generalization of Kakutani’s splitting procedure
Copyright policy )A generalization of Kakutani’s splitting procedure
In this paper we will study uniformly distributed sequences of partitions of [0,1], a concept which has been introduced by Kakutani in 1976. We will construct new families of u.d. sequences of partitions and study relations with the classical concept of uniformly distributed sequences of points.
14 pages, submitted
- University of Calabria Italy
uniform distribution, quasi-Monte Carlo, Pseudo-random numbers; Monte Carlo methods, Mathematics - Number Theory, probability, FOS: Mathematics, 28D05 (Primary) 60B10 (Secondary), Number Theory (math.NT), Measure-preserving transformations, General theory of distribution modulo \(1\)
uniform distribution, quasi-Monte Carlo, Pseudo-random numbers; Monte Carlo methods, Mathematics - Number Theory, probability, FOS: Mathematics, 28D05 (Primary) 60B10 (Secondary), Number Theory (math.NT), Measure-preserving transformations, General theory of distribution modulo \(1\)
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