Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Poincar\'{e}-type inequalities for Cauchy and other convex
  measures   Brascamp--Lieb-type, weighted Poincar\'{e}-type and related analytic
inequalities are studied for multidimensional Cauchy distributions and more
general $\kappa$-concave probability measures (in the hierarchy of convex
measures). In analogy with the limiting (infinite-dimensional log-concave)
Gaussian model, the weighted inequalities fully describe the measure
concentration and large deviation properties of this family of measures.
Cheeger-type isoperimetric inequalities are investigated similarly, giving rise
to a common weight in the class of concave probability measures under
consideration.

10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn