This extended abstract is concerned with the irregularities of distribution of one-dimensional permuted van der Corput sequences that are generated from linear permutations. We show how to obtain upper bounds for the discrepancy and diaphony of these sequences, by relating them to Kronecker sequences and applying earlier results of Faure and Niederreiter.
- Continued fraction
- Permuted van der Corput sequence
- Zaremba's conjecture
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics