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math.PR2024
Duality for some models of epidemic spreading
Chiara Franceschini, Ellen Saada, Gunter M. Schütz +1
We examine the role of boundaries and the structure of nontrivial duality functions for three non conservative interacting particle systems in one dimension that model epidemic spr…
math.PR2023
Dynamic and static large deviations of a one dimensional SSEP in weak contact with reservoirs
Claudio Landim, Sonia Velasco
We derive a formula for the quasi-potential of one-dimensional symmetric exclusion process in weak contact with reservoirs. The interaction with the boundary is so weak that, in th…
math.PR2022
Hydrodynamic and hydrostatic limit for a generalized contact process with mixed boundary conditions
Mustapha Mourragui, Ellen Saada, Sonia Velasco
We consider an interacting particle system which models the sterile insect technique. It is the superposition of a generalized contact process with exchanges of particles on a fini…