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• W3191001284 abstract "We show that for an area minimizing $m$-dimensional integral current $T$ of codimension at least 2 inside a sufficiently regular Riemannian manifold, the upper Minkowski dimension of the interior singular set is at most $m-2$. This provides a strengthening of the existing $(m-2)$-dimensional Hausdorff dimension bound due to Almgren and De Lellis & Spadaro. As a by-product of the proof, we establish an improvement on the persistence of singularities along the sequence of center manifolds taken to approximate $T$ along blow-up scales." @default.
• W3191001284 created "2021-08-16" @default.
• W3191001284 creator A5025284299 @default.
• W3191001284 date "2021-08-01" @default.
• W3191001284 modified "2023-09-27" @default.
• W3191001284 title "An upper Minkowski bound for the interior singular set of area minimizing currents" @default.
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• W3191001284 hasPublicationYear "2021" @default.
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