Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost Sure Uniform Convergence of Stochastic Processes in the Dual of a
  Nuclear Space   Let $\Phi$ be a nuclear space and let $\Phi'$ denote its strong dual. In this
paper we introduce sufficient conditions for the almost surely uniform
convergence on bounded intervals of time for a sequence of $\Phi'$-valued
processes having continuous (respectively c\`{a}dl\`{a}g) paths. The main
result is formulated first in the general setting of cylindrical processes but
later specialized to other situations of interest. In particular, we establish
conditions for the convergence to occur in a Hilbert space continuously
embedded in $\Phi'$. Furthermore, in the context of the dual of an
ultrabornological nuclear space (like spaces of smooth functions and
distributions) we also include applications to the convergence of a series of
independent c\`{a}dl\`{a}g process and to the convergence of solutions to
linear evolution equations driven by L\'{e}vy noise.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph