Substitutions and 1/2-Discrepancy of $\{n θ+ x\}$ \rm{II}

Details Substitutions and 1/2-Discrepancy of $\{n θ+ x\}$ \rm{II} Substitutions and 1/2-Discrepancy of $\{n θ+ x\}$ \rm{II}

2011-05-31

arxiv.org/abs/1105.6301v1

Mathematics

Dynamical Systems

in review

Scientific paper

Ergodic properties of a renormalization procedure for studying the
1/2-discrepancy sums driven by rotations are studied, with corresponding
implications for almost-sure bounds on the growth rates for these discrepancy
sums.

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