Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional Gaussian approximations in Hilbert spaces: the non-diffusive
  case   We develop a functional Stein-Malliavin method in a non-diffusive Poissonian
setting, thus obtaining a) quantitative central limit theorems for
approximation of arbitrary non-degenerate Gaussian random elements taking
values in a separable Hilbert space and b) fourth moment bounds for
approximating sequences with finite chaos expansion. Our results rely on an
infinite-dimensional version of Stein's method of exchangeable pairs combined
with the so-called Gamma calculus. Two applications are included: Brownian
approximation of Poisson processes in Besov-Liouville spaces and a functional
limit theorem for an edge-counting statistic of a random geometric graph.

19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom