Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic results for the last zero crossing time of a Brownian motion
  with non-null drift   We consider the last zero crossing time $T_{\mu,t}$ of a Brownian motion,
with drift $\mu \neq 0$ in the time interval $[0, t]$. We prove the large
deviation principle of $\{T_{\mu \sqrt r t} : r > 0 \}$ as $r$ tends to
infinity. Moreover, motivated by the results on moderate deviations in the
literature, we also prove a class of large deviation principles for the same
random variables with different scalings, which are governed by the same rate
function. Finally we compare some aspects of the classical moderate deviation
results, and the results in this paper.

17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
1
The categories of this paper are: cs
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio