Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional smoothness of images of logarithmically concave measures
  under polynomials   We show that a measure on the real line that is the image of a log-concave
measure under a polynomial of degree $d$ possesses a density from the
Nikol'skii--Besov class of fractional order $1/d$. This result is used to prove
an estimate of the total variation distance between such measures in terms of
the Fortet--Mourier distance.

17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con