Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Edge Universality for Nonintersecting Brownian Bridges   In this paper we study fluctuations of extreme particles of nonintersecting
Brownian bridges starting from $a_1\leq a_2\leq \cdots \leq a_n$ at time $t=0$
and ending at $b_1\leq b_2\leq \cdots\leq b_n$ at time $t=1$, where
$\mu_{A_n}=(1/n)\sum_{i}\delta_{a_i}, \mu_{B_n}=(1/n)\sum_i \delta_{b_i}$ are
discretization of probability measures $\mu_A, \mu_B$. Under regularity
assumptions of $\mu_A, \mu_B$, we show as the number of particles $n$ goes to
infinity, fluctuations of extreme particles at any time $0<t<1$, after proper
rescaling, are asymptotically universal, converging to the Airy point process.

37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph