E-Dissertationen: Search
Now showing items 181-190 of 215
Statistical mechanics of gradient models
(2019-07-18)
In this thesis, we consider gradient models on the d-dimensional discrete lattice. These models serve as effective models for interfaces and are also known as continuous Ising models . The height of the interface is modelled ......
KPZ universality for last passage percolation models
(2019-09-12)
In this thesis we consider models of last passage percolation on the ℤ2. These models belong to the Kardar–Parisi–Zhang universality class, a class of stochastic growth models that have been widely studied ...
Moduli spaces of K3 surfaces and cubic fourfolds
(2019-11-14)
This thesis is concerned with the Hodge-theoretic relation between polarized K3 surfaces of degree d and special cubic fourfolds of discriminant d, as introduced by Hassett.
For half of the d, K3 surfaces associated ......
For half of the d, K3 surfaces associated ......
Lagrangian field theories: ind/pro-approach and L∞-algebra of local observables
(2018-05-11)
Field Theories in Physics can be formulated giving a local Lagrangian density. Locality is imposed using the infinite jet bundle. That bundle is viewed as a pro-finite dimensional smooth manifold and that point of view has ...
Heat Flows on Time-dependent Metric Measure Spaces
(2018-04-26)
We consider time-dependent metric measure spaces evolving as a super Ricci flow in the sense of Sturm. We haracterize these by means of the (time-dependent) heat flow. We establish equivalence of super Ricci flows, gradient ...
Lower semicontinuity, optimization and regularity of variational problems under general PDE constraints
(2018-04-12)
We investigate variational properties of integral functionals defined on spaces of measures satisfying a general PDE constraint. The study of these properties is motivated by the following three problems: existence of ...
Numerical methods in stochastic and two-scale shape optimization
(2018-04-26)
In this thesis, three different models of elastic shape optimization are described. All models use phase fields to describe the elastic shapes and regularize the interface length on some level or scale to control fine-scale ...
On the dynamics of correlations in Scaling limits of interacting particle systems
(2018-07-09)
In this work, we analyze the properties of two-particle correlations in the weak-coupling and plasma limit of interacting particle systems motivated by Bogolyubov's formal derivation of kinetic equations.
We prove ...
We prove ...
Discrete Riemannian Calculus and A Posteriori Error Control on Shape Spaces
(2018-01-04)
In this thesis, a novel discrete approximation of the curvature tensor on Riemannian manifolds is derived, efficient methods to interpolate and extrapolate images in the context of the time discrete metamorphosis model are ...
The Dirac operator under collapse with bounded curvature and diameter
(2018-09-26)
A sequence (Mi, gi)i of closed Riemannian manifolds with uniform bounded curvature and diameter collapses if it converges to a lower dimensional compact metric space (B,h). The limit space ......