Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constrained non-crossing Brownian motions, fermions and the
  Ferrari-Spohn distribution   A conditioned stochastic process can display a very different behavior from
the unconditioned process. In particular, a conditioned process can exhibit
non-Gaussian fluctuations even if the unconditioned process is Gaussian. In
this work, we revisit the Ferrari-Spohn model of a Brownian bridge conditioned
to avoid a moving wall, which pushes the system into a large-deviation regime.
We extend this model to an arbitrary number $N$ of non-crossing Brownian
bridges. We obtain the joint distribution of the distances of the Brownian
particles from the wall at an intermediate time in the form of the determinant
of an $N\times N$ matrix whose entries are given in terms of the Airy function.
We show that this distribution coincides with that of the positions of $N$
spinless noninteracting fermions trapped by a linear potential with a hard
wall. We then explore the $N \gg 1$ behavior of the system. For simplicity we
focus on the case where the wall's position is given by a semicircle as a
function of time, but we expect our results to be valid for any concave wall
function.

21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con