Mathew Joseph

collaborators

3 papers

math.PR2026

The ergodic theory of SPDEs in a weak-noise regime

Mathew Joseph, Davar Khoshnevisan, Kunwoo Kim +1

Consider a parabolic SPDE \[ \partial_t u = Îu + Ï(u)Î·, \] on $(0, \infty) \times R^{d}$ , where $I^\cdot$ is a centered, generalized Gaussian noise with $\text{Cov}[Î·(t\,,x)\,…

math.PR2026

Blowup for the multiplicative stochastic heat equation with superlinear drift

Mathew Joseph, Shubham Ovhal

We consider the stochastic heat equation with multiplicative white noise: $\partial_{t} u = \partial_{x}^{2} u + b (u) + I ¨ (u) W ˙$ , both on $[0, 1]$ and $R$ . In the case of $[0,1…

math.PR2026

Instantaneous blowup for interacting SDEs with superlinear drift

Mathew Joseph, Shubham Ovhal

We consider a system of interacting SDEs on the integer lattice with multiplicative noise and a drift satisfying the finite Osgood's condition. We show instantaneous everywhere blo…