2 papers
math.PR2026
Branching-selection particle systems and inverse first passage problems
Jacob Mercer
A generalised inverse first passage problem asks whether, given a probability measure on , one can find a boundary such that the stoppi…
math.PR2026
Branching Brownian motion with rank-based selection and reaction-diffusion equations
Jacob Mercer
We consider a family of branching-selection particle systems in which particles branch at time dependent rate and are killed with a probability which is dependent on their rank…