Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Yang-Mills Classical and Quantum Mechanics and Maximally Chaotic
  Dynamical Systems   The maximally chaotic dynamical systems (DS) are the systems which have
nonzero Kolmogorov entropy. The Anosov C-condition defines a reach class of
hyperbolic dynamical systems that have exponential instability of the phase
trajectories and positive Kolmogorov entropy and are therefore maximally
chaotic. The interest in Anosov-Kolmogorov systems is associated with the
attempts to understand the relaxation phenomena, the foundation of the
statistical mechanics, the appearance of turbulence in fluid dynamics, the
non-linear dynamics of the Yang-Mills field, the N-body system in Newtonian
gravity and the relaxation phenomena in stellar systems and the Black hole
thermodynamics. The classical- and quantum-mechanical properties of maximally
chaotic dynamical systems, the application of the C-K theory to the
investigation of the Yang-Mills dynamics and gravitational systems as well as
their application in the Monte Carlo method will be presented.

20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol