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Browsing Research Outputs (Economics) by Title

Browsing Research Outputs (Economics) by Title

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  • Potgieter, Paul (2009-03)
    Using Loeb measure theory, it is possible to construct Lebesgue or even Wiener measure as a hyperfinite counting measure. In this paper I explore an extension of the idea to Hausdorff measure, which yields a hyperfinite ...
  • Potgieter, Paul (2012)
    By considering a counting-type argument on Brownian sample paths, we prove a result similar to that of Orey and Taylor on the exact Hausdorff dimension of the rapid points of Brownian motion. Because of the nature of the ...

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