Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A functional limit theorem for general shot noise processes   By a general shot noise process we mean a shot noise process in which the
counting process of shots is arbitrary locally finite. Assuming that the
counting process of shots satisfies a functional limit theorem in the Skorokhod
space with a locally H\"{o}lder continuous Gaussian limit process and that the
response function is regularly varying at infinity we prove that the
corresponding general shot noise process satisfies a similar functional limit
theorem with a different limit process and different normalization and
centering functions. For instance, if the limit process for the counting
process of shots is a Brownian motion, then the limit process for the general
shot noise process is a Riemann-Liouville process. We specialize our result for
five particular counting processes. Also, we investigate H\"{o}lder continuity
of the limit processes for general shot noise processes.

35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys