Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the law of the iterated logarithm and strong invariance principles in
  stochastic geometry   We study the law of the iterated logarithm (Khinchin (1924), Kolmogorov
(1929)) and related strong invariance principles in stochastic geometry. As
potential applications, we think of well-known functionals such as functionals
defined on the $k$-nearest neighbors graph and important functionals in
topological data analysis such as the Euler characteristic and persistent Betti
numbers.

25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat