Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-time asymptotic of stable Dawson-Watanabe processes in
  supercritical regimes   Let $W=(W_t)_{t\ge0}$ be a supercritical $\alpha$-stable Dawson-Watanabe
process (with $\alpha\in(0,2]$) and $f$ be a test function in the domain of
$-(-\Delta)^{\frac \alpha2}$ satisfying some integrability condition. Assuming
the initial measure $W_0$ has a finite positive moment, we determine the
long-time asymptotic of all orders of $W_t(f)$. In particular, it is shown that
the local behavior of $W_t$ in long-time is completely determined by the
asymptotic of the total mass $W_t(1)$, a global characteristic.

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics