4 papers
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 u…
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…
Low temperature expansion for the Euclidean -measure
Benjamin Gess, Kihoon Seong, Pavlos Tsatsoulis
We study asymptotic expansions of the Euclidean -measure in the low-temperature regime. In particular, this extends the asymptotic expansions of Gaussian function space inte…
Lyapunov exponents and synchronisation by noise for systems of SPDEs
B. Gess, P. Tsatsoulis
Quantitative estimates for the top Lyapunov exponents for systems of stochastic reaction-diffusion equations are proven. The treatment includes reaction potentials with degenerate…