The paper on non-local to local limits studies how solutions of stochastic conservation laws with non-local interaction kernels converge to solutions of local conservation laws as the kernel shrinks to a Dirac delta. This convergence has been established pathwise for specific noise structures and convolution-type kernels. The open problem is whether this limit is consistent with the long-time statistical behavior of these systems, specifically whether the invariant measures of the non-local stochastic dynamics converge weakly to the invariant measure of the local stochastic conservation law, and whether this holds when the interaction kernel lacks translation invariance and the noise coefficient depends on the solution itself in a genuinely nonlinear way.