Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson processes and a log-concave Bernstein theorem   We discuss interplays between log-concave functions and log-concave
sequences. We prove a Bernstein-type theorem, which characterizes the Laplace
transform of log-concave measures on the half-line in terms of log-concavity of
the alternating Taylor coefficients. We establish concavity inequalities for
sequences inspired by the Pr\'ekopa-Leindler and the Walkup theorems. One of
our main tools is a stochastic variational formula for the Poisson average.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc