Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Central Limit Theorem for stationary Fleming--Viot particle systems in
  finite spaces   We consider the Fleming--Viot particle system associated with a
continuous-time Markov chain in a finite space. Assuming irreducibility, it is
known that the particle system possesses a unique stationary distribution,
under which its empirical measure converges to the quasistationary distribution
of the Markov chain. We complement this Law of Large Numbers with a Central
Limit Theorem. Our proof essentially relies on elementary computations on the
infinitesimal generator of the Fleming--Viot particle system, and involves the
so-called $\pi$-return process in the expression of the asymptotic variance.
Our work can be seen as an infinite-time version, in the setting of finite
space Markov chains, of results by Del Moral and Miclo [ESAIM: Probab.
Statist., 2003] and C{\'e}rou, Delyon, Guyader and Rousset [arXiv:1611.00515,
arXiv:1709.06771].

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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph