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FLEMING-VIOT PROCESSES : TWO EXPLICIT EXAMPLES

Abstract : The purpose of this paper is to extend the investigation of the Fleming-Viot process in discrete space started in a previous work to two specific examples. The first one corresponds to a random walk on the complete graph. Due to its geometry, we establish several explicit and optimal formulas for the Fleming-Viot process (invariant distribution, correlations, spectral gap). The second example corresponds to a Markov chain in a two state space. In this case, the study of the Fleming-Viot particle system is reduced to the study of birth and death process with quadratic rates.
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https://hal.archives-ouvertes.fr/hal-01278923
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Submitted on : Thursday, February 25, 2016 - 10:46:13 AM
Last modification on : Thursday, September 30, 2021 - 10:28:06 AM
Long-term archiving on: : Sunday, November 13, 2016 - 3:30:10 AM

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  • HAL Id : hal-01278923, version 1

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Bertrand Cloez, Marie-Noémie Thai. FLEMING-VIOT PROCESSES : TWO EXPLICIT EXAMPLES. 2016. ⟨hal-01278923⟩

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