On the asymptotic behaviour of ?f(nkx)
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Publication:4188483
DOI10.1007/BF00535968zbMath0403.60005OpenAlexW3009095434MaRDI QIDQ4188483
Publication date: 1976
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00535968
Probability measures on topological spaces (60B05) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)
Related Items (6)
Diffusive behavior of ergodic sums over rotations ⋮ Quantitative uniform distribution results for geometric progressions ⋮ On the central limit theorem for lacunary trigonometric series ⋮ The central limit theorem for Riesz-Raikov sums ⋮ An A.S. Invariance principle for lacunary seriesf(n k x) ⋮ On the pair correlations of powers of real numbers
Cites Work
- On the distribution of values of the type \(\sum f(q^ k t)\)
- The law of the iterated logarithm for a gap sequence with infinite gaps
- An almost sure invariance principle for lacunary trigonometric series
- An invariance principle for strongly multiplicative sequences
- Almost sure invariance principles for partial sums of weakly dependent random variables
- On the asymptotic behaviour of ?f(nkx)
- An invariance principle for the law of the iterated logarithm
- LACUNARY SERIES AND INDEPENDENT FUNCTIONS
- On the deviations in the Skorokhod-Strassen approximation scheme
- Limit theorems for lacunary series and uniform distribution mod 1
- An asymptotic property of a gap sequence
- Probability methods in some problems of analysis and number theory
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