2 papers
math.PR2026
The Porous Medium Equation: Multiscale Integrability in Large Deviations
Benjamin Gess, Daniel Heydecker
We consider a zero-range process with superlinear local jump rate, which in a hydrodynamic-small particle rescaling converges to the porous medium equation $\partial_t…
math.PR2025
Matching Large Deviation Bounds of the Zero-Range Process in the whole space
Benjamin Fehrman, Benjamin Gess, Daniel Heydecker
We consider the large deviations of the hydrodynamic rescaling of the zero-range process on in any dimension . Under mild and canonical hypotheses on the loc…