2 problems

Interface-erosion scaling-limit conjecture. As $N\to\infty$, the processes $(D_{N^2t}^{i,N},gamma_{N^2t}^{i,N})$ converge in probability towards a solution $(D^i_t,gamma^i_t)$ to t…

Discrete-to-continuum conjecture. Realizations of the discrete random dynamics converge towards a corresponding solution to the competitive Hele-Shaw problem as the mesh size tends…