The complexity of uniform distribution
The Lattice Structure of Nonlinear Congruential Pseudorandom Numbers.
The period lengths of inversive congruential recursions
Van der Corput sequences towards general (0,1)–sequences in base b
As a result of recent studies on unidimensional low discrepancy sequences, we can assert that the original van der Corput sequences are the worst distributed with respect to various measures of irregularities of distribution among two large families of –sequences, and even among all –sequences for the star discrepancy . We show in the present paper that it is not the case for the extreme discrepancy by producing two kinds of sequences which are the worst distributed among all –sequences, with...