SOME FRACTAL PROPERTIES OF BROWNIAN PATHS

Narn-Rueih Shieh

doi:10.11650/twjm/1500407197

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Home > Journals > Taiwanese J. Math. > Volume 4 > Issue 1 > Article

2000 SOME FRACTAL PROPERTIES OF BROWNIAN PATHS

Narn-Rueih Shieh

Taiwanese J. Math. 4(1): 45-53 (2000). DOI: 10.11650/twjm/1500407197

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Abstract

In this paper, we survey some recent results concerning the fractal structure of Brownian sample paths. The following aspects are discussed: (1) average densities of Brownian trails and intersections; (2) dimension spectra of Brownian zeroes; (3) multifractal properties of Brownian substitutions.

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Narn-Rueih Shieh. "SOME FRACTAL PROPERTIES OF BROWNIAN PATHS." Taiwanese J. Math. 4 (1) 45 - 53, 2000. https://doi.org/10.11650/twjm/1500407197

Information

Published: 2000

First available in Project Euclid: 18 July 2017

zbMATH: 0958.60036

MathSciNet: MR1757982

Digital Object Identifier: 10.11650/twjm/1500407197

Subjects:

Primary: 60G17

Keywords: average density , Brownian motion , dimension spectrum , Hausdorff dimension , intersection measure , local time measure , multifractal , occupation measure , self-similarity

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