Deterministic and probabilistic discrepancies

نویسندگان

  • William W. L. Chen
  • Giancarlo Travaglini
چکیده

In this paper, we compare some deterministic and probabilistic techniques in the study of upper bounds in problems related to certain mean square discrepancie with respect to balls in the d-dimensional unit torus, and show that the quality of these techniques depends in an intricate way on the dimension d under consideration.

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تاریخ انتشار 2009