Sökning: "Ampère"
Visar resultat 1 - 5 av 28 avhandlingar innehållade ordet Ampère.
1. Real and complex Monge-Ampère equations, statistical mechanics and canonical metrics
Sammanfattning : 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. LÄS MER
2. The complex Monge-Ampére operator on bounded hyperconvex domains
Sammanfattning : .... LÄS MER
3. Permanental Point Processes on Real Tori
Sammanfattning : 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. LÄS MER
4. Okounkov bodies and geodesic rays in Kähler geoemtry
Sammanfattning : This thesis presents three papers dealing with questions in Kähler geometry. In the first paper we construct a transform, called the Chebyshev transform, which maps continuous hermitian metrics on a big line bundle to convex functions on the associated Okounkov body. LÄS MER
5. Zeros and growth of entire functions of several variables, the complex Monge-Ampère operator and some related topics
Sammanfattning : The classical Levin-Pfluger theory of entire functions of completely regular growth (CRG) of finite order p in one variable establishes a relation between the distribution of zeros of an entire function and its growth. The most important and interesting result in this theory is the fundamental principle for CRG functions. LÄS MER
