Spectral Conditions for Strong Local Nondeterminism and Exact Hausdorff Measure of Ranges of Gaussian Random Fields
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00041-011-9193-2.pdf
Reference34 articles.
1. Adler, R.J.: The Geometry of Random Fields. Wiley, New York (1981)
2. Anderson, T.W.: The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities. Proc. Am. Math. Soc. 6, 170–176 (1955)
3. Ayache, A., Xiao, Y.: Asymptotic growth properties and Hausdorff dimension of fractional Brownian sheets. J. Fourier Anal. Appl. 11, 407–439 (2005)
4. Baraka, D., Mountford, T.: A law of iterated logarithm for fractional Brownian motions. In: Séminaire de Probabilités XLI. Lecture Notes in Math. vol. 1934, pp. 161–179. Springer, Berlin (2008)
5. Baraka, D., Mountford, T.: The exact Hausdorff measure of the zero set of fractional Brownian motion. J. Theor. Probab. 24, 271–293 (2011)
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