How porous is the graph of Brownian motion?
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- by J. T. Cox and Philip S. Griffin PDF
- Trans. Amer. Math. Soc. 325 (1991), 119-140 Request permission
Abstract:
We prove that the graph of Brownian motion is almost surely porous, and determine the Hausdorff dimension of sets with a given porosity index. In particular we show that the porosity index of the graph is ${\gamma _0} \doteq 0.6948$.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 325 (1991), 119-140
- MSC: Primary 60J65
- DOI: https://doi.org/10.1090/S0002-9947-1991-1013328-0
- MathSciNet review: 1013328