Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Spatial Point Processes with Uniform Births and Deaths by Random
  Connection   This paper is focused on a class of spatial birth and death process of the
Euclidean space where the birth rate is constant and the death rate of a given
point is the shot noise created at its location by the other points of the
current configuration for some response function $f$. An equivalent view point
is that each pair of points of the configuration establishes a random
connection at an exponential time determined by $f$, which results in the death
of one of the two points. We concentrate on space-motion invariant processes of
this type. Under some natural conditions on $f$, we construct the unique
time-stationary regime of this class of point processes by a coupling argument.
We then use the birth and death structure to establish a hierarchy of balance
integral relations between the factorial moment measures. Finally, we show that
the time-stationary point process exhibits a certain kind of repulsion between
its points that we call $f$-repulsion.

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The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat