Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalization of the Space-Fractional Poisson Process and its
  Connection to some L\'evy Processes   This paper introduces a generalization of the so-called space-fractional
Poisson process by extending the difference operator acting on state space
present in the associated difference-differential equations to a much more
general form. It turns out that this generalization can be put in relation to a
specific subordination of a homogeneous Poisson process by means of a
subordinator for which it is possible to express the characterizing L\'evy
measure explicitly. Moreover, the law of this subordinator solves a one-sided
first-order differential equation in which a particular convolution-type
integral operator appears, called Prabhakar derivative. In the last section of
the paper, a similar model is introduced in which the Prabhakar derivative also
acts in time. In this case, too, the probability generating function of the
corresponding process and the probability distribution are determined.

0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys