Quantitative Stratification and the Regularity of Mean Curvature Flow

Jeff Cheeger, Robert Haslhofer, Aaron Naber

Let $\cM$ be a Brakke flow of $n$-dimensional surfaces in $R^N$. The singular set $\cS\subset\cM$ has a stratification $\cS^0\subset\cS^1\subset...\cS$, where $X\in \cS^j$ if no ta…