Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling Limit of the Fleming-Viot Multi-Colour Process   The Fleming-Viot process associated to a killed normally reflected diffusion
$X_t$ is known to provide a particle representation for the quasi-stationary
distribution of $X_t$. In this paper we establish three results for this
particle system. We firstly establish that it also provides a particle
representation for the principal right eigenfunction of the submarkovian
infinitesimal generator of $X_t$. Secondly we establish that the Fleming-Viot
process provides a representation for the $Q$-process. Thirdly we prove a
conjecture due to Bieniek and Burdzy on the asymptotic distribution of the
spine of the Fleming-Viot process and its side branches. We obtain these as
corollaries of the following result. The Fleming-Viot multi-colour process is
obtained by attaching genetic information to the particles in the Fleming-Viot
process. We establish that under a suitable rescaling it converges to the
Fleming-Viot superprocess from population genetics, with spatial inhomogeneity
having the effect of speeding up the rate of genetic drift according to a
simple formula.

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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: cs