# Fleming–Viot Particle System Driven by a Random Walk on $$\mathbb {N}$$N

@article{Maric2015FlemingViotPS, title={Fleming–Viot Particle System Driven by a Random Walk on \$\$\mathbb \{N\}\$\$N}, author={Nevena Maric}, journal={Journal of Statistical Physics}, year={2015}, volume={160}, pages={548-560} }

A random walk on $${\mathbb N}$$N with negative drift and absorption at 0, when conditioned on survival, has uncountably many invariant measures (quasi-stationary distributions, qsd ) $$\nu _c$$νc. We study a Fleming–Viot (fv ) particle system driven by this process. Simulation results indicate that mean normalized densities of the fv unique stationary measure converge to the minimal qsd , $$\nu _0$$ν0, as $$N \rightarrow \infty $$N→∞. Furthermore, every other qsd of the random walk ($$\nu _c…

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