Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Source coding with escort distributions and Renyi entropy bounds   We discuss the interest of escort distributions and R\'enyi entropy in the
context of source coding. We first recall a source coding theorem by Campbell
relating a generalized measure of length to the R\'enyi-Tsallis entropy. We
show that the associated optimal codes can be obtained using considerations on
escort-distributions. We propose a new family of measure of length involving
escort-distributions and we show that these generalized lengths are also
bounded below by the R\'enyi entropy. Furthermore, we obtain that the standard
Shannon codes lengths are optimum for the new generalized lengths measures,
whatever the entropic index. Finally, we show that there exists in this setting
an interplay between standard and escort distributions.

10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th