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.
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
@article{10_4153_CMB_1991_020_9,
author = {Shieh, Narn-Rueih},
title = {Conditional {Local} {Nondeterminism} and {Hausdorff} {Measure} of {Level} {Sets}},
journal = {Canadian mathematical bulletin},
pages = {123--127},
year = {1991},
volume = {34},
number = {1},
doi = {10.4153/CMB-1991-020-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-020-9/}
}
TY - JOUR AU - Shieh, Narn-Rueih TI - Conditional Local Nondeterminism and Hausdorff Measure of Level Sets JO - Canadian mathematical bulletin PY - 1991 SP - 123 EP - 127 VL - 34 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-020-9/ DO - 10.4153/CMB-1991-020-9 ID - 10_4153_CMB_1991_020_9 ER -
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