Pré-Publication, Document De Travail Année : 2025

Linear and uniform in time bound for the binary branching model with Moran type interactions

Résumé

In this note, we recall the definition of the binary branching model with Moran type interactions (BBMMI) introduced in [8]. In this interacting particle system, particles evolve, reproduce and die independently and, with a probability that may depend on the configuration of the whole system, the death of a particle may trigger the reproduction of another particle, while a branching event may trigger the death of another particle. We recall its relation to the Feynman-Kac semigroup of the underlying Markov evolution and improve on the L 2 distance between their normalisations proved in [8], when additional regularity is assumed on the process.
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Dates et versions

hal-04919226 , version 1 (29-01-2025)

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  • HAL Id : hal-04919226 , version 1

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A M G Cox, E Horton, Denis Villemonais. Linear and uniform in time bound for the binary branching model with Moran type interactions. 2025. ⟨hal-04919226⟩
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