Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Are fractional Brownian motions predictable?   We provide a device, called the local predictor, which extends the idea of
the predictable compensator. It is shown that a fBm with the Hurst index
greater than 1/2 coincides with its local predictor while fBm with the Hurst
index smaller than 1/2 does not admit any local predictor. The local predictor
of a martingale (in particular: Brownian motion) trivially exists and equals 0.

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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: stat