Abstract
We consider a generalized version of Kakutani’s splitting procedure where an arbitrary starting partition π is given and in each step all intervals of maximal length are split into m parts, according to a splitting rule ρ. We give conditions on π and ρ under which the resulting sequence of partitions is uniformly distributed.
Original language | English |
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Pages (from-to) | 529-538 |
Journal | Annali di Matematica Pura ed Applicata |
Volume | 192 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2013 |
Fields of Expertise
- Sonstiges