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20142023
most citedHarmonic Discs of Solutions to the Complex Homogeneous Monge-Ampère Equation

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math.CV2023

Harmonic Interpolation and a Brunn-Minkowski Theorem for Random Determinants

Julius Ross, David Witt Nyström

We describe the harmonic interpolation of convex bodies, and prove a strong form of the Brunn-Minkowski inequality and characterize its equality case. As an application we improve…

math.CV2014★ 1 cited

Harmonic Discs of Solutions to the Complex Homogeneous Monge-Ampère Equation

Julius Ross, David Witt Nyström

We study regularity properties of solutions to the Dirichlet problem for the complex Homogeneous Monge-Ampère equation. We show that for certain boundary data on the…