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<p>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.”</p>

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The Spine of Two-Particle Fleming–Viot Process in a Bounded Interval

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月6日

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  • Krzysztof Burdzy,
  • János Engländer,
  • Donald E. Marshall

摘要

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.”