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It is proved in this paper thatS(·) satisfies the strong law of large numbers that is uniform overA∈A, whereA is a family of subsets of [0, 1]d satisfying a mild condition.
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On the transport equation with integral boundary conditions and its conservative law
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Some spectral properties of the transport operator are discussed, the dominant eigenvalue is proved existing, and furthermore, the conservative law of migrating particle numbers is established.
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The law of the iterated logarithm for wavelet series
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We prove a law of iterated logarithm for wavelet series:
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