Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariance principle for local time by quasi-compactness   The objective of this paper is to prove a functional weak invariance
principle for a local time of a process of the form $X_{n}=\varphi\circ T^{n}$
where $\left(X,\mathcal{B},T,m\right)$ is a measure preserving system with a
transfer operator acting quasi-compactly on a large enough Banach space of
functions and $\varphi\in L^{2}\left(m\right)$ is an aperiodic observable.

28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat