Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small noise limit and convexity for generalized incompressible flows,
  Schr\"odinger problems, and optimal transport   This paper is concerned with six variational problems and their mutual
connections: The quadratic Monge-Kantorovich optimal transport, the
Schr\"odinger problem, Brenier's relaxed model for incompressible fluids, the
so-called Br\"odinger problem recently introduced by M. Arnaudon & al. [3], the
multiphase Brenier model, and the multiphase Br\"odinger problem. All of them
involve the minimization of a kinetic action and/or a relative entropy of some
path measures with respect to the reversible Brownian motion. As the viscosity
parameter $\nu\to 0$ we establish Gamma-convergence relations between the
corresponding problems, and prove the convergence of the associated pressures
arising from the incompressibility constraints. We also present new results on
the time-convexity of the entropy for some of the dynamical interpolations.
Along the way we extend previous results by H. Lavenant [30] and J-D. Benamou &
al. [10].

24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc