The fractal geometry of Brownian motion
After an introduction to Brownian motion, Hausdorff dimension, nonstandard analysis and Loeb measure theory, we explore the notion of a nonstandard formulation of Hausdorff dimension. By considering an adapted form of the counting measure formulation of Lebesgue measure, we find that Hausdorff dimen...
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| Format: | Others |
| Language: | en |
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2009
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| Online Access: | http://hdl.handle.net/10500/1868 |