Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group entropies: from phase space geometry to entropy functionals via
  group theory   The entropy of Boltzmann-Gibbs, as proved by Shannon and Khinchin, is based
on four axioms, where the fourth one concerns additivity. The group theoretic
entropies make use of formal group theory to replace this axiom with a more
general composability axiom. As has been pointed out before, generalised
entropies crucially depend on the number of allowed number degrees of freedom
$N$. The functional form of group entropies is restricted (though not uniquely
determined) by assuming extensivity on the equal probability ensemble, which
leads to classes of functionals corresponding to sub-exponential, exponential
or super-exponential dependence of the phase space volume $W$ on $N$. We review
the ensuing entropies, discuss the composability axiom, relate to the Gibbs'
paradox discussion and explain why group entropies may be particularly relevant
from an information theoretic perspective.

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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th