Resumen de Double bubbles in Gauss space and spheres

Joe Corneli, Ivan Corwin, Y. Xu, Stephanie Hurder, Vojislav Sesum, Elizabeth Adams, Diana Davis, Michelle Lee, Regina Pettit, Neil Hoffman

• We prove that a standard Y is an area-minimizing partition of Gauss space into three given volumes, provided that the standard double bubble is an area-minimizing partition of high-dimensional spheres. We prove that the standard double bubble is the area-minimizing partition of spheres of any dimension where the volumes differ by at most 4%