About: Regularity structure

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Martin Hairer's theory of regularity structures provides a framework for studying a large class of subcritical parabolic stochastic partial differential equations arising from quantum field theory. The framework covers the Kardar–Parisi–Zhang equation , the equation and the parabolic Anderson model, all of which require renormalization in order to have a well-defined notion of solution. Hairer won the 2021 Breakthrough Prize in mathematics for introducing regularity structures.

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  • Martin Hairer's theory of regularity structures provides a framework for studying a large class of subcritical parabolic stochastic partial differential equations arising from quantum field theory. The framework covers the Kardar–Parisi–Zhang equation , the equation and the parabolic Anderson model, all of which require renormalization in order to have a well-defined notion of solution. Hairer won the 2021 Breakthrough Prize in mathematics for introducing regularity structures. (en)
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  • Martin Hairer's theory of regularity structures provides a framework for studying a large class of subcritical parabolic stochastic partial differential equations arising from quantum field theory. The framework covers the Kardar–Parisi–Zhang equation , the equation and the parabolic Anderson model, all of which require renormalization in order to have a well-defined notion of solution. Hairer won the 2021 Breakthrough Prize in mathematics for introducing regularity structures. (en)
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  • Regularity structure (en)
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