Strong approximation of lacunary series with random gaps
From MaRDI portal
Publication:1650723
DOI10.1007/s00605-017-1059-5zbMath1409.60047OpenAlexW2617366192MaRDI QIDQ1650723
Alina Bazarova, Marko Raseta, István Berkes
Publication date: 13 July 2018
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: http://openlib.tugraz.at/592fd94f36620
Functional limit theorems; invariance principles (60F17) Lacunary series of trigonometric and other functions; Riesz products (42A55) Probabilistic methods for one variable harmonic analysis (42A61)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On lacunary series with random gaps
- Irregular discrepancy behavior of lacunary series. II
- A gap sequence with gaps bigger than the Hadamard's
- On the central limit theorem for \(f(n_{k}x)\)
- Irregular discrepancy behavior of lacunary series
- A law of the iterated logarithm for discrepancies: non-constant limsup
- On a law of the iterated logarithm for sums mod 1 with application to Benford's law
- The proof of the central limit theorem for theta sums
- On a uniform law of the iterated logarithm for sums mod 1 and Benford's law
- Limit theorems for theta sums
- The law of the iterated logarithm for a gap sequence with infinite gaps
- On the distribution of values of sums of the type \(\sum f(2^kt)\)
- On the law of the iterated logarithm for the discrepancy of lacunary sequences
- On the Asymptotic Uniform Distribution of Sums Reduced mod 1
- On the Law of the Iterated Logarithm For Uniformly Bounded Orthonormal Systems
- On the convergence of ∑𝑐_{𝑘}𝑓(𝑛_{𝑘}𝑥)
- Almost sure invariance principles for partial sums of weakly dependent random variables
- Discrepancy of randomly sampled sequences of reals
- An invariance principle for the law of the iterated logarithm
- Metric discrepancy results for Erdős-Fortet sequence
- LACUNARY SERIES AND INDEPENDENT FUNCTIONS
- Probability methods in some problems of analysis and number theory
- A Central Limit Theorem for Uniformly Bounded Orthonormal Systems
