B. Gess

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20242026

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math.PR2026

The Porous Medium Equation: Multiscale Integrability in Large Deviations

Benjamin Gess, Daniel Heydecker

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

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 $Z^{d}$ in any dimension $d \geq 1$ . Under mild and canonical hypotheses on the loc…

math.PR2024

Low temperature expansion for the Euclidean $Φ_{2}^{4}$ -measure

Benjamin Gess, Kihoon Seong, Pavlos Tsatsoulis

We study asymptotic expansions of the Euclidean $Φ_{2}^{4}$ -measure in the low-temperature regime. In particular, this extends the asymptotic expansions of Gaussian function space inte…

The Porous Medium Equation: Multiscale Integrability in Large Deviations

Matching Large Deviation Bounds of the Zero-Range Process in the whole space

Low temperature expansion for the Euclidean Φ24​-measure

Low temperature expansion for the Euclidean $Φ_{2}^{4}$ -measure