Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A CLT for the third integrated moment of Brownian local time increments   Let $\{L^{x}_{t} ; (x,t)\in R^{1}\times R^{1}_{+}\}$ denote the local time of
Brownian motion. Our main result is to show that for each fixed $t$ $${\int
(L^{x+h}_t- L^x_t)^3 dx-12h\int (L^{x+h}_t - L^x_t)L^x_t dx-24h^{2}t\over h^2}
\stackrel{\mathcal{L}}{\Longrightarrow}\sqrt{192}(\int (L^x_t)^3dx)^{1/2}\eta$$
as $h\to 0$, where $\eta$ is a normal random variable with mean zero and
variance one that is independent of $L^{x}_{t}$. This generalizes our previous
result for the second moment. We also explain why our approach will not work
for higher moments

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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: stat