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Physical Sciences and Mathematics Commons

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University of South Carolina

2009

Mathematics

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Cyclic Shifts Of The Van Der Corput Set, Dmitriy Bilyk Aug 2009

Cyclic Shifts Of The Van Der Corput Set, Dmitriy Bilyk

Faculty Publications

In 1980, K. Roth showed that the expected value of the L2 discrepancy of the cyclic shifts of the N-point van der Corput set is bounded by a constant multiple of √logN, thus guaranteeing the existence of a shift with asymptotically minimal L2 discrepancy. In the present paper, we construct a specific example of such a shift.


A Space Topologized By Functions From Omega To Omega, Akira Iwasa Jun 2009

A Space Topologized By Functions From Omega To Omega, Akira Iwasa

Faculty Publications

No abstract provided.