The Faculty of Mathematics and Natural Sciences: Search
Now showing items 11-17 of 17
Parallel RBF Kernel-Based Stochastic Collocation for Large-Scale Random PDEs
(2015-07-03)
In this thesis, the solution of large-scale uncertainty quantification problems is considered. Uncertainty quantification aims to extract stochastic (moment) information from processes with uncertain input data. These ...
Hilbert transforms and maximal operators along planar vector fields
(2015-07-16)
In harmonic analysis, there is a conjecture (attributed to Zygmund) stating that the directional maximal operator along a Lipschitz planar vector field is weakly bounded on L^2. In this thesis, we present some recent ...
Singular propagators in deformation quantization and Shoikhet-Tsygan formality
(2015-06-03)
This thesis adds some details to the seminal approach to logarithmic formality and interpolation formality by Alekseev, Rossi, Torossian and Willwacher: We prove that the interpolation family of Kontsevich formality maps ......
Selberg and Ruelle zeta functions on compact hyperbolic odd dimensional manifolds
(2015-11-12)
In this thesis we study the Selberg and Ruelle zeta functions on compact oriented hyperbolic manifolds
X of odd dimension d. We prove that they converge in some half-plane Re(s)>c and that they admit a meromorphic ...
X of odd dimension d. We prove that they converge in some half-plane Re(s)>c and that they admit a meromorphic ...
Shock Fluctuations in KPZ Growth Models
(2015-10-09)
The Kardar-Parisi-Zhang (KPZ) universality class is a class of stochastic growth models which has attracted much interest, especially since the discovery about 15 years ago that the Tracy-Widom distributions from random ...
Numerical calculation of automorphic functions for finite index subgroups of triangle groups
(2015-08-20)
We present a new method to calculate automorphic functions for finite index subgroups of triangle groups. Since automorphic functions are holomorphic, it is well known that the real and the imaginary part are both harmonic. ...
Mathematical Analysis of Lattice gradient models & Nonlinear Elasticity
(2015-10-07)
Statistical Mechanics is considered as one of the most sound and confirmed theories in modern physics. In this thesis, we explore the possibility to view a large class of models under the point of view of statistical ...