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

## TL;DR

This paper shows that the spine of a two-particle Fleming–Viot process behaves differently from Brownian motion in a bounded interval.

## Contribution

The paper identifies a distinct law for the spine and estimates the 'extra drift' in the process.

## Key findings

- The spine of the Fleming–Viot process has a different law from Brownian motion in a bounded interval.
- An 'extra drift' is estimated for the spine of the two-particle process.

## Abstract

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.”