3 problems

Let $u$ be one of the weak solutions to the sixth-order quantum-diffusion equation constructed in the proof of the existence theorem, let $u^0$ be its initial datum, and let…

Almost Mathieu diffusion conjecture. For almost every $\theta,\alpha\in[0,1]$, the equation has a diffusion constant $D(g,\lambda)\in(0,\infty)$ that is smooth for all…

Diffusive propagation and disorder-scaling conjecture. For every bounded potential $u$ and every $\lambda>0$, these constants are positive and finite, with…