Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rescaled entropy of cellular automata   For a d-dimensional cellular automaton with d $\ge$ 1 we introduce a rescaled
entropy which estimates the growth rate of the entropy at small scales by
generalizing previous approaches [1, 9]. We also define a notion of Lyapunov
exponent and proves a Ruelle inequality as already established for d = 1 in
[16, 15]. Finally we generalize the entropy formula for 1-dimensional
permutative cellular automata [18] to the rescaled entropy in higher
dimensions. This last result extends recent works [17] of Shinoda and Tsukamoto
dealing with the metric mean dimensions of two-dimensional symbolic dynamics.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th