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math.PR2025
The comonotone flow of a stochastically monotone Feller process on the real line
Jean Bérard, Brieuc Frénais
We show that any stochastically monotone Feller semigroup on R can be extended by a consistent family of order-preserving Feller semigroups on the successive powers of R. We exhibi…
math.PR2025
Sharpness for monotone absorbing Interacting Particle Systems
Jean Bérard, Barbara Dembin, Laure Marêché
We prove a sharpness result for the dynamics of finite-range Interacting Particle Systems (IPS) on , which generalizes to a whole class of IPS the sharpness result…