Daniel Heydecker

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20182026

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math.AP2026

Low-Temperature Large Deviations for the Two-Dimensional Wick-Ordered Cubic Wave Equation

Daniel Heydecker

We prove a trajectory large deviation principle, in the low-temperature limit, for the two-dimensional Wick-ordered defocusing cubic nonlinear wave equation, with initial data draw…

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…

Low-Temperature Large Deviations for the Two-Dimensional Wick-Ordered Cubic Wave Equation

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

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