Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isoperimetric Inequalities Made Simpler   We give an alternative, simple method to prove isoperimetric inequalities
over the hypercube. In particular, we show:
  1. An elementary proof of classical isoperimetric inequalities of Talagrand,
as well as a stronger isoperimetric result conjectured by Talagrand and
recently proved by Eldan and Gross.
  2. A strengthening of the Friedgut junta theorem, asserting that if the
$p$-moment of the sensitivity of a function is constant for some $p\geq 1/2 +
\varepsilon$, then the function is close to a junta. In this language,
Friedgut's theorem is the special case that $p=1$.

37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg