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11-XX Number theory
11Kxx Probabilistic theory: distribution modulo $1$ ; metric theory of algorithms
11K31 Special sequences

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$L^{p}$ -discrepancy and statistical independence of sequences

Peter J. Grabner, Oto Strauch, Robert Franz Tichy (1999)

Czechoslovak Mathematical Journal

We characterize statistical independence of sequences by the $L^{p}$ -discrepancy and the Wiener $L^{p}$ -discrepancy. Furthermore, we find asymptotic information on the distribution of the $L^{2}$ -discrepancy of sequences.

La convergence presque sûre des moyennes ergodiques suivant certaines sous-suites d'entiers

Jean-Paul Thouvenot (1989/1990)

Séminaire Bourbaki

La répartition modulo $1$ de la suite $x θ^{n}$ et les ensembles de Cantor

Michel Mendès France (1964/1965)

Séminaire Dubreil. Algèbre et théorie des nombres

Linear mod one transformations and the distribution of fractional parts {ξ(p/q)ⁿ}

Yann Bugeaud (2004)

Acta Arithmetica

Currently displaying 1 – 4 of 4