3 problems

Let $\mathcal Z^{{\omega},a}_{\beta}(t,x)$ be the solution of the stochastic heat equation with delta initial condition, and define the random probability measure … For $\beta=0$,…

Consider the stochastic heat equation on $\mathbb{R}^d$ driven by Lévy noise that is white in both time and space. Strong-intermittency conjecture. The solution should exhibit stro…

Continuum long-range polymer conjecture. Under these conditions, the partition function ${{\mathcal Z}} _{\beta,\mathrm{long}}^{\omega,a}$ converges almost surely to a non-degenera…