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- W1977366899 abstract "We give a new proof for a Ray-Knight representation of Feller's branching diffusion with logistic growth in terms of the local times of a reflected Brownian motion $H$ with a drift that is affine linear in the local time accumulated by $H$ at its current level. In Le et al. (2011) such a representation was obtained by an approximation through Harris paths that code the genealogies of particle systems. The present proof is purely in terms of stochastic analysis, and is inspired by previous work of Norris, Rogers and Williams (1988)." @default.
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- W1977366899 date "2011-01-01" @default.
- W1977366899 modified "2023-10-15" @default.
- W1977366899 title "From Brownian motion with a local time drift to Feller's branching diffusion with logistic growth" @default.
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- W1977366899 doi "https://doi.org/10.1214/ecp.v16-1679" @default.
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