Jakob Hultgren

activity

20162023

most citedTropical and non-Archimedean Monge-Ampère equations for a class of Calabi-Yau hypersurfaces

2 citations · 5 across the 8 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.DG2016★ 1 cited

Coupled Kähler-Einstein metrics

Jakob Hultgren, David Witt Nyström

We propose new types of canonical metrics on Kähler manifolds, called coupled Kähler-Einstein metrics, generalizing Kähler-Einstein metrics. We prove existence and uniqueness resul…

math.DG2016

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 $Ω \subseteq R^{n}$ ,…

math.AP2016

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…