Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards information theory for q-nonextensive statistics without
  q-deformed distributions   In this paper we extend our recent results [Physica A340 (2004)110] on
q-nonextensive statistics with non-Tsallis entropies. In particular, we combine
an axiomatics of Renyi with the q-deformed version of Khinchin axioms to obtain
the entropy which accounts both for systems with embedded self-similarity and
q-nonextensivity. We find that this entropy can be uniquely solved in terms of
a one-parameter family of information measures. The corresponding entropy
maximizer is expressible via a special function known under the name of the
Lambert W-function. We analyze the corresponding "high" and "low-temperature"
asymptotics and make some remarks on the possible applications.

3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga