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Subjects
11-XX Number theory
11Kxx Probabilistic theory: distribution modulo $1$ ; metric theory of algorithms
11K45 Pseudo-random numbers; Monte Carlo methods

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Displaying 81 – 84 of 84

The complexity of uniform distribution

Martin Goldstern (1994)

Mathematica Slovaca

The Lattice Structure of Nonlinear Congruential Pseudorandom Numbers.

Jürgen Eichenauer-Herrmann (1993)

Metrika

The period lengths of inversive congruential recursions

Wun-Seng Chou (1995)

Acta Arithmetica

Van der Corput sequences towards general (0,1)–sequences in base b

Henri Faure (2007)

Journal de Théorie des Nombres de Bordeaux

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 $(0, 1)$ –sequences, and even among all $(0, 1)$ –sequences for the star discrepancy $D^{*}$ . We show in the present paper that it is not the case for the extreme discrepancy $D$ by producing two kinds of sequences which are the worst distributed among all $(0, 1)$ –sequences, with...

Currently displaying 81 – 84 of 84

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