Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random Walk of a Cat in a Building   One usually thinks of a cat moving from one room to another in an apartment
as random walk model. Imagine now that it also has the possibility to go from
one apartment to another by crossing some corridors. That yields a new
probabilistic model for which each corridor connects the entrance rooms of
several apartments. This article shows that the determinants of the stochastic
and the exponential distance matrices of that model have a nice factorization.
Two examples involving indirectly acyclic digraphs and hyperplane arrangements
are provided.

3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ