Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power variations for a class of Brown-Resnick processes   We consider the class of simple Brown-Resnick max-stable processes whose
spectral processes are continuous exponential martingales. We develop the
asymptotic theory for the realized power variations of these max-stable
processes, that is, sums of powers of absolute increments. We consider an
infill asymptotic setting, where the sampling frequency converges to zero while
the time span remains fixed. More specifically we obtain a biased central limit
theorem whose bias depend on the local times of the differences between the
logarithms of the underlying spectral processes.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc