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arxiv: 1105.6301 · v1 · pith:6SNG6QGTnew · submitted 2011-05-31 · 🧮 math.DS · math.NT

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

classification 🧮 math.DS math.NT
keywords discrepancysumsalmost-sureboundscorrespondingdrivenergodicgrowth
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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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