Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reciprocity relations and generalized entropic quantifiers that lack
  trace-form   In this effort we show that the Legendre reciprocity
relations,thermodynamic's essential formal feature, are respected by any
entropic functional, even if it is NOT of trace-form nature, as Shannon's is.
Further, with reference to the MaXent variational process, we encounter
important cases, relevant to physical applications currently discussed in the
research literature, in which the associated reciprocity relations exhibit
anomalies. We show that these anomalies can be cured by carefully
discriminating between apparently equivalent entropic forms.

3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an