Conditional Local Nondeterminism and Hausdorff Measure of Level Sets
Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 123-127

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Let X be a real stochastic process. We localize S. M. Berman's formulation on the local nondeterminism of X to a fixed level. With this localized idea, we prove that, for large classes of Gaussian and Markov X, at each x the level set X(t, w) = x has infinite Hausdorff φ - measure (φ is certain measure function) for w in a set of positive probability.
DOI : 10.4153/CMB-1991-020-9
Mots-clés : 60G17.
Shieh, Narn-Rueih. Conditional Local Nondeterminism and Hausdorff Measure of Level Sets. Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 123-127. doi: 10.4153/CMB-1991-020-9
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