About: Almgren regularity theorem

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In geometric measure theory, a field of mathematics, the Almgren regularity theorem, proved by Almgren , states that the singular set of a mass-minimizing surface has codimension at least 2. Almgren's proof of this was 955 pages long. Within the proof many new ideas are introduced, such as monotonicity of a frequency function and the use of a center manifold to perform a more intricate blow-up procedure. A streamlined and more accessible proof of Almgren's regularity theorem, following the same ideas as Almgren, was given by Camillo De Lellis and in a series of three papers.

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  • In geometric measure theory, a field of mathematics, the Almgren regularity theorem, proved by Almgren , states that the singular set of a mass-minimizing surface has codimension at least 2. Almgren's proof of this was 955 pages long. Within the proof many new ideas are introduced, such as monotonicity of a frequency function and the use of a center manifold to perform a more intricate blow-up procedure. A streamlined and more accessible proof of Almgren's regularity theorem, following the same ideas as Almgren, was given by Camillo De Lellis and in a series of three papers. (en)
  • Inom , en del av matematiken, är Almgrens regelbundenhetssats, bevisad av , ett resultat som säger att kodimensionen av av en massminimerande yta är minst 2. Almgrens bevis av detta var 955 sidor långt. (sv)
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  • 1055622185 (xsd:integer)
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  • Frederick J. Almgren, Jr. (en)
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  • Almgren (en)
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  • 1983 (xsd:integer)
  • 2000 (xsd:integer)
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  • In geometric measure theory, a field of mathematics, the Almgren regularity theorem, proved by Almgren , states that the singular set of a mass-minimizing surface has codimension at least 2. Almgren's proof of this was 955 pages long. Within the proof many new ideas are introduced, such as monotonicity of a frequency function and the use of a center manifold to perform a more intricate blow-up procedure. A streamlined and more accessible proof of Almgren's regularity theorem, following the same ideas as Almgren, was given by Camillo De Lellis and in a series of three papers. (en)
  • Inom , en del av matematiken, är Almgrens regelbundenhetssats, bevisad av , ett resultat som säger att kodimensionen av av en massminimerande yta är minst 2. Almgrens bevis av detta var 955 sidor långt. (sv)
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  • Almgren regularity theorem (en)
  • Almgrens regelbundenhetssats (sv)
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