Theory and application of nonlinear wave propagation phenomena in combined reaction/separation processes

Reaction separation processes, reactive distillation, chromatographic reactor, equilibrium theory, nonlinear waves, process control, observer design, asymptoticaly exact input/output-linearization

Theory and measurement of social intelligence as a cognitive performance construct

Social intelligence

Quantum phase transitions in magnetic systems: application of coupled cluster method

Magdeburg, Univ., Fak. für Naturwiss., Diss., 2009

Lattice point inequalities and face numbers of polytopes in view of central symmetry

Magdeburg, Univ., Fak. für Mathematik, Diss., 2012

Experiments in square lattice with a common treatment in all blocks

This paper deals with a generalization of square lattice designs, with k² treatments in blocks of k + 1 plots, the extra plot in each block receiving a standard treatment, the same for all blocks. The new design leads to lower variances for contrasts between adjusted treatment means

Selection theory of dendritic growth in complex systems

Magdeburg, Univ., Fak. für Naturwiss., Diss., 2015

Förderung von Gewerbeneuansiedlungen im Wirtschaftsraum Blankenburg (Harz) unter Berücksichtigung der bestehenden gewerblichen Cluster

Ziel der Arbeit war es, den Wirtschaftsraum Blankenburg (Harz) durch die Bildung und Förderung von gewerblichen Clustern attraktiver zu gestalten. In diesem Rahmen wurde zunächst die Entwicklung von Gewerbe- und Industrieflächen mithilfe der Bauleitplanung in Theorie und Praxis beschrieben. Die anschließende Untersuchung des Bundeslandes Sachsen-Anhalt und im speziellen der Stadt Blankenburg (Harz) bildeten die Datengrundlage für die weiteren Arbeitsschritte. Um die Ergebnisse dieser Standortanalyse in einen direkten Zusammenhang mit tatsächlichen Eindrücken der ansässigen Unternehmen bringen zu können, wurde eine schriftliche Unternehmensbefragung durchgeführt. Diese thematisierte vor allem die Einschätzung der Standortfaktoren in Blankenburg (Harz). Die im Zwischenfazit beschriebene Wertung, dass die Stadt derzeit nur wenige Anreize für Unternehmensneuansiedlungen bietet, war Ausgangspunkt für die Theorie der Clusterpolitik. Dabei wurden zunächst gewerbliche Cluster aus den ansässigen Unternehmen gebildet. Daraus resultierten die Wirtschaftsbereiche, deren Unternehmen für eine Ansiedlung in Blankenburg besonders in Frage kommen. Da diese Betriebe feste Anforderungen an Gewerbe- oder Industrieflächen in Bezug auf die Größe, die planungsrechtlichen Beschränkungen und die infrastrukturelle Anbindung stellen, konnten die vorhandenen Freiflächen im Rahmen einer Mikroanalyse hinsichtlich ihrer Eignung für Neuansiedlungen untersucht werden.

The Barcelonnettes: an example of network-entrepreneurs in XIX century Mexico. An explanation based on a theory of bounded rational choice with social embeddedness

A theory of network-entrepreneurs or "spin-off system" is presented in this paper for the creation of firms based on the community’s social governance. It is argued that firm’s capacity for accumulation depends on the presence of employees belonging to the same social/ethnic group with expectations of "inheriting" the firm and becoming entrepreneurs once they have been selected for their merits and loyalty towards their patrons. Such accumulation is possible because of the credibility of the patrons’ promises of supporting newcomers due to high social cohesion and specific social norms prevailing in the community. This theory is exemplified through the case of the Barcelonnettes, a group of immigrants from the Alps in the South of France (Provence) who came to Mexico in the XIX Century.

The orthogonal subcategory problem in homotopy theory

It is known that, in a locally presentable category, localization exists with respect to every set of morphisms, while the statement that localization with respect to every (possibly proper) class of morphisms exists in locally presentable categories is equivalent to a large-cardinal axiom from set theory. One proves similarly, on one hand, that homotopy localization exists with respect to sets of maps in every cofibrantly generated, left proper, simplicial model category M whose underlying category is locally presentable. On the other hand, as we show in this article, the existence of localization with respect to possibly proper classes of maps in a model category M satisfying the above assumptions is implied by a large-cardinal axiom called Vopënka's principle, although we do not know if the reverse implication holds. We also show that, under the same assumptions on M, every endofunctor of M that is idempotent up to homotopy is equivalent to localization with respect to some class S of maps, and if Vopënka's principle holds then S can be chosen to be a set. There are examples showing that the latter need not be true if M is not cofibrantly generated. The above assumptions on M are satisfied by simplicial sets and symmetric spectra over simplicial sets, among many other model categories.

Empiricism in ecological economics: a perspective from complex systems theory

Economies are open complex adaptive systems far from thermodynamic equilibrium, and neo-classical environmental economics seems not to be the best way to describe the behaviour of such systems. Standard econometric analysis (i.e. time series) takes a deterministic and predictive approach, which encourages the search for predictive policy to ‘correct’ environmental problems. Rather, it seems that, because of the characteristics of economic systems, an ex-post analysis is more appropriate, which describes the emergence of such systems’ properties, and which sees policy as a social steering mechanism. With this background, some of the recent empirical work published in the field of ecological economics that follows the approach defended here is presented. Finally, the conclusion is reached that a predictive use of econometrics (i.e. time series analysis) in ecological economics should be limited to cases in which uncertainty decreases, which is not the normal situation when analysing the evolution of economic systems. However, that does not mean we should not use empirical analysis. On the contrary, this is to be encouraged, but from a structural and ex-post point of view.

Creating and using a non-dedicated HPC cluster with ParallelKnoppix

This note describes ParallelKnoppix, a bootable CD that allows econometricians with average knowledge of computers to create and begin using a high performance computing cluster for parallel computing in very little time. The computers used may be heterogeneous machines, and clusters of up to 200 nodes are supported. When the cluster is shut down, all machines are in their original state, so their temporary use in the cluster does not interfere with their normal uses. An example shows how a Monte Carlo study of a bootstrap test procedure may be done in parallel. Using a cluster of 20 nodes, the example runs approximately 20 times faster than it does on a single computer.