output
19932026
Showing math.PRShow all

216 papers · 1 filter

math.PR2026

On a stochastic phase-field model of cell motility with singular diffusion

Amjad Saef, Wilhelm Stannat

We study existence of solutions in the variational sense for a class of stochastic phase-field models describing moving boundary problems. The models consist of stochastic reaction…

math.PR2025

Stability of travelling wave solutions to reaction-diffusion equations driven by additive noise with Hölder continuous paths

Amjad Saef, Wilhelm Stannat

In this paper we investigate stability of travelling wave solutions to a class of reaction-diffusion equations perturbed by infinite-dimensional additive noise with Hölder continuo…

math.PR2024★ 1 cited

An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results

Adrian Martini, Avi Mayorcas

We study an additive-noise approximation to Keller-Segel-Dean-Kawasaki dynamics, which is proposed as an approximate model to the fluctuating hydrodynamics of chemotactically inter…

math.PR2024

A Stochastic Reconstruction Theorem on Rectangular Increments with an Application to a Mixed Hyperbolic SPDE

Carlo Bellingeri, Hannes Kern

We extend the stochastic reconstruction theorem to a setting where the underlying family of distributions satisfies some natural conditions involving rectangular increments. This a…

math.PR2024★ 1 cited

Villain action in lattice gauge theory

Ilya Chevyrev, Christophe Garban

We prove that Villain interaction applied to lattice gauge theory can be obtained as the limit of both Wilson and Manton interactions on a larger graph which we call the {\em carpe…

math.PR2024

Generalized Euler-Maclaurin formula and Signatures

Carlo Bellingeri, Peter K. Friz, Sylvie Paycha

The Euler-Maclaurin formula which relates a discrete sum with an integral, is generalised to the setting of Riemann-Stieltjes sums and integrals on stochastic processes whose paths…