59 citations · 74 across the 8 of their papers we have counts for
10 papers
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…
Interpolation, Prekopa and Brunn-Minkowski for -subharmonicity
Julius Ross, David Witt Nyström
We extend Prekopa's Theorem and the Brunn-Minkowski Theorem from convexity to -subharmonicity. We apply this to the interpolation problem of convex functions and convex sets int…
Deformations of Kähler manifolds to normal bundles and restricted volumes of big classes
David Witt Nyström
The deformation of a variety to the normal cone of a subvariety is a classical construction in algebraic geometry. In this paper we study the case when is a compact…
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…