Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations for the boundary local time of doubly reflected
  Brownian Motion   We compute a closed-form expression for the moment generating function
$\hat{f}(x;\lambda,\alpha)=\frac{1}{\lambda}\mathbb{E}_x(e^{\alpha L_{\tau}})$,
where $L_t$ is the local time at zero for standard Brownian motion with
reflecting barriers at $0$ and $b$, and $\tau \sim \mathrm{Exp}(\lambda)$ is
independent of $W$. By analyzing how and where $\hat{f}(x;\cdot,\alpha)$ blows
up in $\lambda$, a large-time large deviation principle (LDP) for $L_t/t$ is
established using a Tauberian result and the G\"{a}rtner-Ellis Theorem.

33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph