Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Besov Regularity of Periodic L\'evy Noises   In this paper, we study the Besov regularity of L\'evy white noises on the
$d$-dimensional torus. Due to their rough sample paths, the white noises that
we consider are defined as generalized stochastic fields. We, initially, obtain
regularity results for general L\'evy white noises. Then, we focus on two
subclasses of noises: compound Poisson and symmetric-$\alpha$-stable (including
Gaussian), for which we make more precise statements. Before measuring
regularity, we show that the question is well-posed; we prove that Besov spaces
are in the cylindrical $\sigma$-field of the space of generalized functions.
These results pave the way to the characterization of the $n$-term wavelet
approximation properties of stochastic processes.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci