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Full-Text Articles in Mathematics
A Rational Solution To Cootie, Arthur T. Benjamin, Matthew T. Fluet '99
A Rational Solution To Cootie, Arthur T. Benjamin, Matthew T. Fluet '99
All HMC Faculty Publications and Research
No abstract provided in this article.
A Leveque-Type Lower Bound For Discrepancy, Francis E. Su
A Leveque-Type Lower Bound For Discrepancy, Francis E. Su
All HMC Faculty Publications and Research
A sharp lower bound for discrepancy on R / Z is derived that resembles the upper bound due to LeVeque. An analogous bound is proved for discrepancy on Rk / Zk. These are discussed in the more general context of the discrepancy of probablity measures. As applications, the bounds are applied to Kronecker sequences and to a random walk on the torus.