2 problems

Let $Q_{N_i,\nu_i}$ be probability laws associated with sequences $\nu_i\to 0$ and $N_i\to\infty$, and suppose that $\{Q_{N_i,\nu_i}\}_i$ is weakly convergent to a probability meas…

Let $(\sigma_k)_{k\in\mathbb{Z}^2_0}$ be the family of vector fields on $\mathbb{T}^2$ defined, for $\gamma\geq 2$, by … Assume that the associated gradient estimate is the estimat…