Search for dissertations about: "Jakob Hultgren"

Found 2 swedish dissertations containing the words Jakob Hultgren.

  1. 1. Permanental Point Processes on Real Tori

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Jakob Hultgren; Göteborgs universitet.; Gothenburg University.; [2016]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Point Processes; Monge-Ampère equations; Affine Manifolds;

    Abstract : The main motivation for this thesis is to study real Monge-Ampère equations. These are fully nonlinear differential equations that arise in differential geometry. They lie at the heart of optimal transport and, as such, are related to probability theory, statistics, geometrical inequalities, fluid dynamics and diffusion equations. READ MORE

  2. 2. Real and complex Monge-Ampère equations, statistical mechanics and canonical metrics

    University dissertation from Göteborg : Chalmers tekniska högskola

    Author : Jakob Hultgren; Göteborgs universitet.; Gothenburg University.; [2018]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Statistical Mechanics; Point Processes; Hessian manifolds; Kähler geometry; Optimal Transport; Canonical metrics; Complex Monge-Ampère equations; Real Monge-Ampère equations; Kähler-Einstein metrics;

    Abstract : Recent decades has seen a strong trend in complex geometry to study canonical metrics and the way they relate to geometric analysis, algebraic geometry and probability theory. This thesis consists of four papers each contributing to this field. The first paper sets up a probabilistic framework for real Monge-Ampère equations on tori. READ MORE