Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-body symbolic dynamics of a classical oscillator chain   We study a certain type of the celebrated Fermi-Pasta-Ulam particle chain,
namely the inverted FPU model, where the inter-particle potential has a form of
a quartic double well. Numerical evidence is given in support of a simple
symbolic description of dynamics (in the regime of sufficiently high potential
barrier between the wells) in terms of an (approximate) Markov process. The
corresponding transition matrix is formally identical to a ferromagnetic
Heisenberg quantum spin-1/2 chain with long range coupling, whose
diagonalization yields accurate estimates for a class of time correlation
functions of the model.

17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn