The Faculty of Mathematics and Natural Sciences: Search
Now showing items 31-40 of 547
On the Γ-convergence of the energies and the convergence of almost minimizers in infinite magnetic cylinders
(2012-07-23)
In this thesis we study static 180 degree domain walls in infinite thin magnetic wires with either a rectangular or a centrally symmetric Lipschitz cross section. We explore the magnetization energy minimization problem ...
Dual weights in the theory of harmonic Siegel modular forms
(2012-07-13)
We define harmonic Siegel modular forms based on a completely new approach using vector-valued covariant operators. The Fourier expansions of such forms are investigated for two distinct slash actions. Two very different ...
Weak and Measure-Valued Solutions of the Incompressible Euler Equations
(2012-06-21)
This thesis is concerned with the existence problem for weak solutions of the incompressible Euler equations in arbitrary dimension, and with the relationship between weak solutions and other "very weak'' concepts of ...
Obstruction theory for operadic algebras
(2012-05-21)
We study obstruction theory for formality of chain operadic algebras. We construct a canonical class γA for an algebra A over a cofibrant chain operad P∞. This class takes values in the Gamma cohomology ...
On the Feynman-Kac formula for Schrödinger semigroups on vector bundles
(2011-05-11)
In this thesis we generalize the Feynman-Kac formula to semigroups that correspond to Schrödinger type operators with possibly singular potentials on vector bundles over noncompact Riemannian manifolds.
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Analytic dilation on complete manifolds with corners of codimension 2
(2011-01-21)
The analytic dilation method was originally used in the context of many body Schrödinger operators. In this thesis we adapt it to the context of compatible Laplacians on complete manifolds with corners of codimension two. ...
The Curve Graph and Surface Construction in S x R
(2011-01-13)
Suppose S is an oriented, compact surface with genus at least two. This thesis investigates the \homology curve complex" of S; a modification of the curve complex first studied by Harvey in which the verticies are required ......
Equilibrium dynamics of continuous unbounded spin systems
(2011-05-25)
The relaxation properties of the Glauber and Kawasaki dynamics are studied for large lattice systems of unbounded continuous spins. For this purpose the logarithmic Sobolev inequality is deduced for the canonical ensemble ...
On arithmetic families of filtered φ-modules and crystalline representations
(2011-05-10)
We consider stacks of filtered phi-modules over rigid analytic and adic spaces. We show that these modules parametrize p-adic Galois representations of the absolute Galois group of a p-adic field with varying coefficients ...
Quantum cluster algebras and the dual canonical basis
(2011-03-14)
Let Q be either a Dynkin quiver of type A with alternating orientation or the Kronecker quiver. With the indecomposable injective modules over the path algebra of Q and their Auslander-Reiten translates we associate an ...