Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transition operators assigned to physical systems   By a physical system we recognize a set of propositions about a given system
with their truth-values depending on the states of the system. Since every
physical system can go from one state in another one, there exists a binary
relation on the set of states describing this transition. Our aim is to assign
to every such system an operator on the set of propositions which is fully
determined by the mentioned relation. We establish conditions under which the
given relation can be recovered by means of this transition operator.

34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
16
The categories of this paper are: stat