Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractal behavior of multivariate operator-self-similar stable random
  fields   We investigate the sample path regularity of multivariate
operator-self-similar stable random fields with values in $\mathbb{R}^m$ given
by a harmonizable representation. Such fields were introduced in [25] as a
generalization of both operator-self-similar stochastic processes and operator
scaling random fields and satisfy the scaling property $\{X(c^E t) : t \in
\mathbb{R}^d \} \stackrel{\rm d}{=} \{c^D X(t) : t \in \mathbb{R}^d \}$, where
$E$ is a real $d \times d$ matrix and $D$ is a real $m \times m$ matrix. This
paper provides the first results concerning sample path properties of such
fields, including both $E$ and $D$ different from identity matrices. In
particular, this solves an open problem in [25].

19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga