2 papers
math.PR2026
Holder continuity of interfaces for scale-invariant Poisson stick soup
Augusto Teixeira, Daniel Ungaretti
We study the interface of covered and vacant sets in the subcritical phase of a scale-invariant Poisson stick soup on the plane. This model is a natural candidate for scaling limit…
math.PR2025
Contact process on interchange process
M. Hilário, D. Ungaretti, D. Valesin +1
We introduce a model of epidemics among moving particles on any locally finite graph. At any time, each vertex is empty, occupied by a healthy particle, or occupied by an infected…