Diff. Geom, Math. Phys., PDE: Inwon C. Kim

This talk is about a free boundary problem posed in domains with holes which is created by random distribution (that's kind of like percolation). We describe the free boundary motion as the hole size (along with the space between holes) goes to zero.  The tools are ergodic theory, maximum principle, Homogenization, Elliptic regularity theory.