Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An "anti-Gleason" phenomenon and simultaneous measurements in classical
  mechanics   We report on an "anti-Gleason" phenomenon in classical mechanics: in contrast
with the quantum case, the algebra of classical observables can carry a
non-linear quasi-state, a monotone functional which is linear on all subspaces
generated by Poisson-commutative functions. We present an example of such a
quasi-state in the case when the phase space is the 2-sphere. This example lies
in the intersection of two seemingly remote mathematical theories - symplectic
topology and the theory of topological quasi-states. We use this quasi-state to
estimate the error of the simultaneous measurement of non-commuting
Hamiltonians.

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat