Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable Central Limit Theorems for Super Ornstein-Uhlenbeck Processes, II   This paper is a continuation of our recent paper (Elect. J. Probab. 24
(2019), no. 141) and is devoted to the asymptotic behavior of a class of
supercritical super Ornstein-Uhlenbeck processes $(X_t)_{t\geq 0}$ with
branching mechanisms of infinite second moment. In the aforementioned paper, we
proved stable central limit theorems for $X_t(f) $ for some functions $f$ of
polynomial growth in three different regimes. However, we were not able to
prove central limit theorems for $X_t(f) $ for all functions $f$ of polynomial
growth. In this note, we show that the limit stable random variables in the
three different regimes are independent, and as a consequence, we get stable
central limit theorems for $X_t(f) $ for all functions $f$ of polynomial
growth.

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The categories of this paper are: eess
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The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: bayes-an