Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An improved lower bound for the critical parameter of the Stavskaya's
  process   We consider the Stavskaya's process, which is a two-states Probabilistic
Celular Automata defined on a one-dimensional lattice. The process is defined
in such a way that the state of any vertex depends only on itself and on the
state of its right-adjacent neighbor. This process was one of the first
multicomponent systems with local interaction, for which has been proved
rigorously the existence of a kind of phase transition. However, the exact
localization of its critical value remains as an open problem. In this work we
provide a new lower bound for the critical value. The last one was obtained by
Andrei Toom, fifty years ago.

36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc