Daniel Heydecker

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20242026

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math.PR2026

Pathological Large Deviations of the KMP Process in Dimension $d \geq 2$

Daniel Heydecker

We study dynamic large deviations for the Kipnis--Marchioro--Presutti process on the discrete torus $T_{N}^{d}$ . By recasting the candidate rate function in terms of a linear…

math.PR2026

The Porous Medium Equation: Multiscale Integrability in Large Deviations

Benjamin Gess, Daniel Heydecker

We consider a zero-range process $I^\cdot_{t}^{N} (x)$ with superlinear local jump rate, which in a hydrodynamic-small particle rescaling converges to the porous medium equation $\partial_t…

Pathological Large Deviations of the KMP Process in Dimension d≥2

The Porous Medium Equation: Multiscale Integrability in Large Deviations

Pathological Large Deviations of the KMP Process in Dimension $d \geq 2$