Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Conservative and Monotone One-dimensional Cellular Automata and Their
  Particle Representation   Number-conserving (or {\em conservative}) cellular automata have been used in
several contexts, in particular traffic models, where it is natural to think
about them as systems of interacting particles. In this article we consider
several issues concerning one-dimensional cellular automata which are
conservative, monotone (specially ``non-increasing''), or that allow a weaker
kind of conservative dynamics. We introduce a formalism of ``particle
automata'', and discuss several properties that they may exhibit, some of
which, like anticipation and momentum preservation, happen to be intrinsic to
the conservative CA they represent. For monotone CA we give a characterization,
and then show that they too are equivalent to the corresponding class of
particle automata. Finally, we show how to determine, for a given CA and a
given integer $b$, whether its states admit a $b$-neighborhood-dependent
relabelling whose sum is conserved by the CA iteration; this can be used to
uncover conservative principles and particle-like behavior underlying the
dynamics of some CA. Complements at {\tt http://www.dim.uchile.cl/\verb'
'anmoreir/ncca}

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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
3
The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn