Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: First-passage time asymptotics over moving boundaries for random walk
  bridges   We study the asymptotic tail probability of the first-passage time over a
moving boundary for a random walk conditioned to return to zero, where the
increments of the random walk have finite variance. Typically, the asymptotic
tail behavior may be described through a regularly varying function with
exponent -1/2, where the impact of the boundary is captured by the slowly
varying function. Yet, the moving boundary may have a stronger effect when the
tail is considered at a time close to the return point of the random walk
bridge. In the latter case, a phase transition appears in the asymptotics, of
which the precise nature depends on the order of distance between zero and the
moving boundary.

28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th