Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of self-interaction on the phase diagram of a Gibbs-like measure
  derived by a reversible Probabilistic Cellular Automata   Cellular Automata are discrete-time dynamical systems on a spatially extended
discrete space which provide paradigmatic examples of nonlinear phenomena.
Their stochastic generalizations, i.e., Probabilistic Cellular Automata (PCA),
are discrete time Markov chains on lattice with finite single-cell states whose
distinguishing feature is the \emph{parallel} character of the updating rule.
We study the ground states of the Hamiltonian and the low-temperature phase
diagram of the related Gibbs measure naturally associated with a class of
reversible PCA, called the \textit{cross PCA}. In such a model the updating
rule of a cell depends indeed only on the status of the five cells forming a
cross centered at the original cell itself. In particular, it depends on the
value of the center spin (\textit{self-interaction}). The goal of the paper is
that of investigating the role played by the self-interaction parameter in
connection with the ground states of the Hamiltonian and the low-temperature
phase diagram of the Gibbs measure associated with this particular PCA.

24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int