Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete Dynamical Systems Embedded in Cantor Sets   While the notion of chaos is well established for dynamical systems on
manifolds, it is not so for dynamical systems over discrete spaces with $ N $
variables, as binary neural networks and cellular automata. The main difficulty
is the choice of a suitable topology to study the limit $N\to\infty$. By
embedding the discrete phase space into a Cantor set we provided a natural
setting to define topological entropy and Lyapunov exponents through the
concept of error-profile. We made explicit calculations both numerical and
analytic for well known discrete dynamical models.

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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex