Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Penalising symmetric stable L\'evy paths   Limit theorems for the normalized laws with respect to two kinds of weight
functionals are studied for any symmetric stable L\'evy process of index $ 1 <
\alpha \le 2 $. The first kind is a function of the local time at the origin,
and the second kind is the exponential of an occupation time integral. Special
emphasis is put on the role played by a stable L\'evy counterpart of the
universal $ \sigma $-finite measure, found in [9] and [10], which unifies the
corresponding limit theorems in the Brownian setup for which $ \alpha =2 $.

29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn