Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Route from discreteness to the continuum for the non-logarithmic
  $q$-entropy   The existence and exact form of the continuum expression of the discrete
nonlogarithmic $q$-entropy is an important open problem in generalized
thermostatistics, since its possible lack implies that nonlogarithmic
$q$-entropy is irrelevant for the continuous classical systems. In this work,
we show how the discrete nonlogarithmic $q$-entropy in fact converges in the
continuous limit and the negative of the $q$-entropy with continuous variables
is demonstrated to lead to the (Csisz{\'a}r type) $q$-relative entropy just as
the relation between the continuous Boltzmann-Gibbs expression and the
Kullback-Leibler relative entropy. As a result, we conclude that there is no
obstacle for the applicability of the $q$-entropy to the continuous classical
physical systems.

18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas