BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

A counter-example to log-concavity of the first Robin eigenfunction Clutterbuck, Julie


The first Neumann eigenfunction is a constant, while the first Dirichlet eigenfunction is known to be log-concave, by a result of Brascamp and Lieb. It seems reasonable to conjecture that the first Robin eigenfunction should also be log-concave. However in recent work we have shown that this cannot be true. This is joint work with Ben Andrews and Daniel Hauer.

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