Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The case for shifting the Renyi Entropy   We introduce a variant of the R\'enyi entropy definition that aligns it with
the well-known H\"older mean: in the new formulation, the r-th order R\'enyi
Entropy is the logarithm of the inverse of the r-th order H\"older mean. This
brings about new insights into the relationship of the R\'enyi entropy to
quantities close to it, like the information potential and the partition
function of statistical mechanics. We also provide expressions that allow us to
calculate the R\'enyi entropies from the Shannon cross-entropy and the escort
probabilities. Finally, we discuss why shifting the R\'enyi entropy is fruitful
in some applications.

33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga