3 papers
math.PR2026
Fluctuations for fully pushed stochastic fronts
Alison Etheridge, Raphaël Forien, Thomas Hughes +1
We study the asymptotic behaviour, in the small noise limit, of stochastic travelling wave solutions to reaction-diffusion equations perturbed by Wright-Fisher noise. Such equation…
math.PR2026
A compact support property for infinite-dimensional SDEs with Hölder continuous coefficients
Thomas Hughes, Marcel Ortgiese
We consider non-negative solutions to some infinite-dimensional SDEs on with Hölder continuous noise coefficients. We prove that if the Hölder exponent is less tha…
math.PR2025
The compact support property for solutions to stochastic heat equations with stable noise
Thomas Hughes
We consider weak non-negative solutions to the stochastic partial differential equation \[ \partial_t Y(t,x) = ÎY(t,x) + Y(t,x)^γ\dot{L}(t,x), \] for $(t,x) \in \mathbb{R}_+ \tim…