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arxiv: 1807.01193 · v1 · pith:BMWC7WMWnew · submitted 2018-07-03 · 🧮 math.AP

Free boundary regularity in obstacle problems

Alessio Figalli This is my paper
classification 🧮 math.AP
keywords boundaryfreeobstacleregularityauthorclassicaldevelopmentsduring
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These notes record and expand the lectures for the `Journ\'ees \'Equations aux D\'eriv\'ees Partielles 2018' held by the author during the week of June 11-15, 2018. The aim is to give a overview of the classical theory for the obstacle problem, and then present some recent developments on the regularity of the free boundary.

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  1. Sharp deviation inequalities for the 2D Coulomb gas and Quantum hall states, I

    math-ph 2019-06 unverdicted novelty 6.0

    Sharp deviation inequalities are proved for linear statistics of the 2D Coulomb gas using complex geometry and potential theory on Riemann surfaces, extending to beta-ensembles and quantum Hall states.