Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of piecewise linear maps and sets of nonnegative matrices   We consider functions $f(v)=\min_{A\in K}{Av}$ and $g(v)=\max_{A\in K}{Av}$,
where $K$ is a finite set of nonnegative matrices and by "min" and "max" we
mean coordinate-wise minimum and maximum. We transfer known results about
properties of $g$ to $f$. In particular we show existence of nonnegative
generalized eigenvectors for $f$, give necessary and sufficient conditions for
existence of strictly positive eigenvector for $f$, study dynamics of $f$ on
the positive cone. We show the existence and construct matrices $A$ and $B$,
possibly not in $K$, such that $f^n(v)\sim A^nv$ and $g^n(v)\sim B^nv$ for any
strictly positive vector $v$.

22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga