Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Persistence and exit times for some additive functionals of skew Bessel
  processes   Let X be some homogeneous additive functional of a skew Bessel process Y. In
this note, we compute the asymptotics of the first passage time of X to some
fixed level b, and study the position of Y when X exits a bounded interval [a,
b]. As a by-product, we obtain the probability that X reaches the level b
before the level a. Our results extend some previous works on additive
functionals of Brownian motion by Isozaki and Kotani for the persistence
problem, and by Lachal for the exit time problem.

18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex