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Optimal bound for the discrepancies of lacunary sequences

Christoph Aistleitner, Katusi Fukuyama, Yukako Furuya (2013)

Acta Arithmetica

The law of the iterated logarithm for discrepancies of lacunary sequences is studied. An optimal bound is given under a very mild Diophantine type condition.

Ordered random walks.

Eichelsbacher, Peter, König, Wolfgang (2008)

Electronic Journal of Probability [electronic only]

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