Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of branching exponential flights in bounded domains   Branching random flights are key to describing the evolution of many physical
and biological systems, ranging from neutron multiplication to gene mutations.
When their paths evolve in bounded regions, we establish a relation between the
properties of trajectories starting on the boundary and those starting inside
the domain. Within this context, we show that the total length travelled by the
walker and the number of performed collisions in bounded volumes can be
assessed by resorting to the Feynman-Kac formalism. Other physical observables
related to the branching trajectories, such as the survival and escape
probability, are derived as well.

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The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess