59 citations · 74 across the 8 of their papers we have counts for
6 papers · 1 filter
Competitive Hele-Shaw flow and quadratic differentials
Fredrik Viklund, David Witt Nyström
We introduce and investigate a generalization of the Hele-Shaw flow with injection where several droplets compete for space as they try to expand due to internal pressure while sti…
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…
The Dirichlet Problem for the Complex Homogeneous Monge-Ampère Equation
Julius Ross, David Witt Nyström
We survey the Dirichlet problem for the complex Homogeneous Monge-Ampère Equation, both in the case of domains in and the case of compact Kähler manifolds parametrize…
Monotonicity of non-pluripolar Monge-Ampère masses
David Witt Nyström
We prove that on a compact Kähler manifold, the non-pluripolar Monge-Ampère mass of a -psh function decreases as the singularities increase. This was conjectured by Boucksom-Eys…
Test configurations and Okounkov bodies
David Witt Nystrom
We associate to a test configuration of an ample line bundle a filtration of the section ring of the line bundle. Using the recent work of Boucksom-Chen we get a concave function o…
Convergence of Bergman measures for high powers of a line bundle
Robert Berman, David Witt Nystrom
Let be a holomorphic line bundle on a compact complex manifold of dimension and let be a continuous metric on Fixing a measure on gives a sequen…