Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
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NovikovShubin Invariants of Nilpotent Lie Groups
(20230525)NovikovShubin invariants are socalled L2invariants of noncompact manifolds. They are defined using the Laplace operators and measure the density of their spectra near zero. This nearzero part of the spectrum is ... 
Numerical Simulation of Bloch Equations for Dynamic Magnetic Resonance Imaging
(20170321)With recent advancements of image reconstruction techniques, magnetic resonance imaging (MRI) can produce realtime images at a temporal resolution of 10 to 40 ms to observe complex physiological processes and also serves ... 
Numerical study of an evolutionary algorithm for electrical impedance tomography
(20080303)We consider the twodimensional inverse electrical impedance problem without apriori information. There, we want to reconstruct the conductivity inside a conducting object from currents and voltages applied at its ... 
Numerische Methoden zur Analyse hochdimensionaler Daten
(20140910)This thesis is concerned with two of the major tasks in processing huge data sets, dimensionality reduction and data denoising. The first part of the thesis yields a summary on dimensionality reduction. Dimensionality ... 
Obere und untere Schranken für eingeschränkte ParityBranchingprogramme
(20060815)Boolean Functions are classified in complexity classes by the upper and lower bounds of the resources a computation required to solve the function in a certain computation model.Thus one ... 
Oktaven und Reduktionstheorie
(20120202)The thesis studies the split octonion algebra and its automorphism group. This group is a Lie group of Type G2. One object of the thesis is to look at methods introduced by Behrend, Harder ... 
On a Two Dimensional Inverse Scattering Problem for a Dielectric
(20120305)The inverse problem under consideration is to reconstruct the shape of an infinitely long homogeneous dielectric cylinder from the far field (or near field) pattern for scattering of a ... 
On an analogue of L2Betti numbers for finite field coefficients and a question of Atiyah
(20160712)We construct a dimension function for modules over the group ring of an amenable group. This may replace the von Neumann dimension in the definition of L2Betti numbers and thus allows an analogue definition for finite ... 
On Artin's primitive root conjecture
(20140715)Artin’s primitive root conjecture states that for any integer a, neither 0, ±1 nor a perfect square, there exist infinitely many primes p such that a is a primitive root modulo p, or alternatively, such that a generates a ... 
On C*algebras associated to product systems
(20180517)We consider a class of Fell bundles over quasilattice ordered groups. We show that these are completely determined by the positive fibres and that their cross sectional C*algebras are relative Cuntz–Pimsner algebras ... 
On Collective Communication and Notified Read in the Global Address Space Programming Interface (GASPI)
(20170328)In high performance computing (HPC) applications, scientific or engineering problems are solved in a highly parallel and often necessarily distributed manner. The distribution of work leads to the distribution of data ... 
On Localization and Multiscale in Data Assimilation
(20170601)The main goal of inverse problems is the reconstruction of unknown quantities, often they are located in an inaccessible part of space. Data assimilation, which is the integration of inverse problems techniques with dynamical ... 
On Localization Issues of Mobile Devices
(20181105)Mobile devices, such as sensor nodes, smartphones and smartwatches, are now widely used in many applications. Localization is a highly important topic in wireless networks as well as in many Internet of Things applications. ... 
On Lower Bounds for Parity Branching Programs
(20031218)This thesis concerns the complexity of parity branching programs with limitations on the way in which variables may be read.Interest in such branching programs has been raised by a popular ... 
On minimax detection of localized signals from indirect or correlated data
(20220505)This is a cumulative thesis consisting of two papers, in which we treat two problems related to the detectability of local anomalies within certain types of data. In the first paper, we suppose that a segment of a Gaussian ... 
On Minmax Robustness for Multiobjective Optimization with Decision or Parameter Uncertainty
(20180427)Multiobjective optimization problems (MOPs) are problems with two or more objective functions. Two types of uncertainty in MOPs are distinguished, namely decision uncertainty and parameter uncertainty. Decision uncertainty ... 
On monitoring and fault management of next generation networks
(20101116)This thesis investigates monitoring and fault management of next generation networks, in particular in environments where the network nodes within an Autonomous System (AS) are centrally ... 
On NewtonOkounkov bodies, linear series and positivity
(20180404)This thesis consists of four independent articles all connected to the theory of NewtonOkounkov bodies. It contains result about toric degenerations of Del Pezzo surfaces/BottSamelson varieties as well as an extension ... 
On projective resolutions of simple modules over the Borel subalgebra S^+(n, r) of the Schur algebra S(n, r) for n ≤3
(20080305)We construct projective resolutions for simple modules over the Borel subalgebras S^+(2,r) and S^+(3,r) of the Schur algebras S(2,r) and S(3,r) over a field of positive characteristic. In the case S^+(2,r) we get a minimal ... 
On the action of the group of automorphisms of the affine plane on instantons
(20110209)We define an action of the group of automorphism of the affine plane on SU(2)instantons ans investgate the orbits of this action.