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The spine of two-particle Fleming-Viot process in a bounded interval

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arxiv 2308.14290 v1 pith:X3IX6U44 submitted 2023-08-28 math.PR

The spine of two-particle Fleming-Viot process in a bounded interval

classification math.PR
keywords intervalboundedbrownianfleming-viotmotionprocessspineconditioned
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We show that the spine of the Fleming-Viot process driven by Brownian motion and starting with two particles in a bounded interval has a different law from that of Brownian motion conditioned to stay in the interval forever. Furthermore, we estimate the ``extra drift.''

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