1 citations · 2 across the 3 of their papers we have counts for
5 papers
Extremal potentials and equilibrium measures associated to collections of Kähler classes
Jakob Hultgren
Given a collection of Kähler forms and a continuous weight on a compact complex manifold we show that it is possible to define natural new notions of extremal potentials and equili…
Mutual Asymptotic Fekete Sequences
Jakob Hultgren
A sequence of point configurations on a compact complex manifold is asymptotically Fekete if it is close to maximizing a sequence of Vandermonde determinants. These Vandermonde det…
Unipotent Factorization of Vector Bundle Automorphisms
Jakob Hultgren, Erlend F. Wold
We provide unipotent factorizations of vector bundle automorphisms of real and complex vector bundles over smooth manifolds. This generalises work of Thurston-Wasserstein and Wasse…
An optimal transport approach to Monge-Ampère equations on compact Hessian manifolds
Jakob Hultgren, Magnus Önnheim
In this paper we consider Monge-Ampère equations on compact Hessian manifolds, or equivalently Monge-Ampère equations on certain unbounded convex domains ,…
Permanental Point Processes on Real Tori, Theta Functions and Monge-Ampère Equations
Jakob Hultgren
Inspired by constructions in complex geometry we introduce a thermodynamic framework for Monge-Ampère equations on real tori. We show convergence in law of the associated point pro…