Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
Now showing items 503-522 of 547
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The Optimization of the 3-d Structure of Plants, Using Functional-Structural Plant Models
(2015-12-03)One component of the performance of plants is their capability to intercept light. By using a functional-structural modelling approach, an optimization model of the 3-d above-ground structure of plants is constructed, ... -
The Quintic Gauss Sums
(2004-09-14)We investigate the possibility of generalization of the Cassel-McGettrick formula for the quintic Gauss sums. We construct a fundamental region for the fifth cyclotomic field. we describe ... -
The shifted convolution of generalized divisor functions
(2017-04-18)We prove an asymptotic formula for the shifted convolution of the divisor functions \(d_k(n)\) and \(d(n)\) with \(k \geq 3\), which is uniform in the shift parameter and which has a power saving error term. Along the way, ... -
The Spectra on Lie Groups and Its Application to twisted L2-Invariants
(2024-02-29)We computed spectra of various $G$-invariant differential operators on the universal cover of 2x2 unimodular groups. This was achieved by applying tools from harmonic analysis/representation theory to corresponding groups. ... -
The split prime μ-conjecture and further topics in Iwasawa theory
(2019-03-25)The thesis is divided in three independent chapters, each focused on a different problem in Iwasawa theory. In Chapter 1 we prove the split prime μ-conjecture for abelian extensions of imaginary quadratic fields. In Chapter ... -
Theory and Numerics for Shape Optimization in Superconductivity
(2006-09-18)We consider a mathematical model for a thin superconducting film which is magnetically shielded by permanent magnets in order to improve the current carrying capability of the film. In a ... -
Thetafunktionen und konjugationsinvariante Funktionen auf Paaren von Matrizen
(2009-01-16)We express conjugation-invariant functions on the space of equivalence classes of pairs of kxk matrices via theta functions. Our approach is based on the well-known interplay between algebraic ... -
Topological construction of C*-correspondences for groupoid C*-algebras
(2015-09-09)Let G and H be locally compact, Hausdor groupoids with Haar systems. We de fine a topological correspondence from G to H to be a G-H bispace X carrying a G-quasi invariant and H-invariant family of measures. We show that ... -
Topological Invariants for Non-Archimedean Bornological Algebras
(2020-10-13)In this thesis, we define a cyclic homology theory for non-archimedean bornological algebras, which we call analytic cyclic homology. Let V be a complete, discrete valuation ring with uniformiser p, residue field k, and ... -
Toward Trustworthiness of Deep Learning Models for 12-Lead ECGs
(2024-01-31)A 12-lead electrocardiogram (ECG), a common examination tool in cardiology, represents the electrical activity of the heart as waveforms. Predictions and classifications with deep learning (DL) algorithms show great potential ... -
Towards a Lightweight, Secure, and Untraceable RFID Authentication Protocol
(2015-09-11)This dissertation tackles the problem of user privacy and security of transactions in the authentication protocols of the technology of Radio-frequency identification (RFID). Radio-frequency identification is ubiquitously ... -
Towards a Robust and Secure Decentralized Online Social Network
(2015-01-15)The virtually unlimited growth of popular Online Social Networks (OSNs) is often accompanied by severe violations of their users' privacy and intellectual property rights. Both problems are rooted in the centralized ... -
Towards Personalized Cardiac Modeling of Failing Heart with Engineered Heart Muscle
(2024-05-28)This dissertation investigates the biomechanics of the left ventricle across multiple geometric levels toward personalized cardiac modeling with engineered heart muscle. Firstly, a physics-based model for the EDPVR and ... -
Towards Rigorous Agent-Based Modelling
(2015-01-07)Agent- or individual-based modelling is a modelling approach where the heterogeneity of entities, i.e. agents, matters. In the past ten to twenty years agent-based models became increasingly popular and were applied in ... -
Tracking and Fusion Methods for Extended Targets Parameterized by Center, Orientation, and Semi-axes
(2022-01-14)The improvements in sensor technology, e.g., the development of automotive Radio Detection and Ranging (RADAR) or Light Detection and Ranging (LIDAR), which are able to provide a higher detail of the sensor’s environment, ... -
Triadic Closure and Its Influence in Social Networks
(2016-09-12)Social triad—a group of three people—is one of the simplest and most fundamental social groups, which serves as the basis of social network analysis. Triadic closure, a closing process of an open triad, is a useful ... -
Twisted equivariant K-theory and equivariant T-duality
(2023-09-18)This thesis is about two things: twisted equivariant K-theory and equivariant topological T-duality. First, we prove a fixed point decomposition theorem for twisted equivariant K-theory, generalising a result of Atiyah and ... -
Twisted K-theory with coefficients in a C*-algebra and obstructions against positive scalar curvature metrics
(2010-03-17)We introduce the notion of twisted Hilbert A-module bundles to construct a geometric realization of twisted K-theory with coefficients in a C*-algebra A. Like ordinary bundles of Hilbert ... -
Twisted Kloosterman sums and cubic exponential sums
(2009-12-15)In this thesis work, we study the problem of the distribution of cubic exponential sums. Using the theory of of automorphic forms, we are able to determine the asymptotic behavior of these ... -
Two Cases of Artin's Conjecture
(2021-02-25)Let $f_1, \dots, f_R$ be forms of degree $k_1, \dots, k_R$ in $s$ variables. A generalised version of a conjecture by Artin states that the equations $f_1= \dots=f_R=0$ have a non-trivial $p$-adic solution for all primes ...