Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetrization of L\'evy processes and applications   It is shown that many of the classical generalized isoperimetric inequalities
for the Laplacian when viewed in terms of Brownian motion extend to a wide
class of Levy processes. The results are derived from the multiple integral
inequalities of Brascamp, Lieb and Luttinger but the probabilistic structure of
the processes plays a crucial role in the proofs.

33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph