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math.PR2026★ 2 cited
An interacting particle system for the front of an epidemic advancing through a susceptible population
Eliana Fausti, Andreas Sojmark
We introduce an interacting particle system that models the spread of an epidemic in terms of heterogeneous diffusive dynamics, rather than exogenous contact and transmission rates…
math.PR2026
A free boundary problem for the mean-field limit of diffusing particles with nonlinear boundary reactivity
Eliana Fausti, Andreas Sojmark
Consider a finite system of diffusing particles coupled through a reactive boundary. Each particle is reflected, but may react with the boundary according to a killing mechanism wh…
math.PR2024
Hyperbolic contractivity and the Hilbert metric on probability measures
Samuel N. Cohen, Eliana Fausti
This paper gives a self-contained introduction to the Hilbert projective metric and its fundamental properties, with a particular focus on the space of probability me…